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Finding the Fourth Proportional to 64,172.40, 96,248.76 and 17,414.16

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Solution

The fourth proportional to 64,172.40, 96,248.76 and 17,414.16 is: 26,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,172.40 : 96,248.76 = 17,414.16 : x
  2. Step 2: Convert to fraction form
    64,172.40/96,248.76 = 17,414.16/x
  3. Step 3: Cross multiply
    64,172.40x = 96,248.76 × 17,414.16
  4. Step 4: Simplify right side
    64,172.40x = 1,676,091,306.44
  5. Step 5: Solve for x
    x = 1,676,091,306.44/64,172.40
  6. Step 6: Final answer
    x = 26,118.57

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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.