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Finding the Fourth Proportional to 46,203.20, 64,815.70 and 46,203.20

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Solution

The fourth proportional to 46,203.20, 64,815.70 and 46,203.20 is: 64,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,203.20 : 64,815.70 = 46,203.20 : x
  2. Step 2: Convert to fraction form
    46,203.20/64,815.70 = 46,203.20/x
  3. Step 3: Cross multiply
    46,203.20x = 64,815.70 × 46,203.20
  4. Step 4: Simplify right side
    46,203.20x = 2,994,692,750.24
  5. Step 5: Solve for x
    x = 2,994,692,750.24/46,203.20
  6. Step 6: Final answer
    x = 64,815.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.