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Finding the Fourth Proportional to 64,534.40, 96,801.60 and 17,787.20

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Solution

The fourth proportional to 64,534.40, 96,801.60 and 17,787.20 is: 26,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,534.40 : 96,801.60 = 17,787.20 : x
  2. Step 2: Convert to fraction form
    64,534.40/96,801.60 = 17,787.20/x
  3. Step 3: Cross multiply
    64,534.40x = 96,801.60 × 17,787.20
  4. Step 4: Simplify right side
    64,534.40x = 1,721,829,419.52
  5. Step 5: Solve for x
    x = 1,721,829,419.52/64,534.40
  6. Step 6: Final answer
    x = 26,680.80

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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.