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Finding the Fourth Proportional to 30,752,356.82, 46,128,982.35 and 8,033,256.50

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Solution

The fourth proportional to 30,752,356.82, 46,128,982.35 and 8,033,256.50 is: 12,050,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,752,356.82 : 46,128,982.35 = 8,033,256.50 : x
  2. Step 2: Convert to fraction form
    30,752,356.82/46,128,982.35 = 8,033,256.50/x
  3. Step 3: Cross multiply
    30,752,356.82x = 46,128,982.35 × 8,033,256.50
  4. Step 4: Simplify right side
    30,752,356.82x = 370,565,947,301,522.81
  5. Step 5: Solve for x
    x = 370,565,947,301,522.81/30,752,356.82
  6. Step 6: Final answer
    x = 12,050,001.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.