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Finding the Fourth Proportional to 113,483, 170,224.50 and 30,377

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Solution

The fourth proportional to 113,483, 170,224.50 and 30,377 is: 45,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,483 : 170,224.50 = 30,377 : x
  2. Step 2: Convert to fraction form
    113,483/170,224.50 = 30,377/x
  3. Step 3: Cross multiply
    113,483x = 170,224.50 × 30,377
  4. Step 4: Simplify right side
    113,483x = 5,170,909,636.50
  5. Step 5: Solve for x
    x = 5,170,909,636.50/113,483
  6. Step 6: Final answer
    x = 45,565.50

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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.