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Finding the Fourth Proportional to 65,209.52, 97,866.12 and 55,957.70

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Solution

The fourth proportional to 65,209.52, 97,866.12 and 55,957.70 is: 83,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.52 : 97,866.12 = 55,957.70 : x
  2. Step 2: Convert to fraction form
    65,209.52/97,866.12 = 55,957.70/x
  3. Step 3: Cross multiply
    65,209.52x = 97,866.12 × 55,957.70
  4. Step 4: Simplify right side
    65,209.52x = 5,476,362,983.12
  5. Step 5: Solve for x
    x = 5,476,362,983.12/65,209.52
  6. Step 6: Final answer
    x = 83,981.04

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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.