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Finding the Fourth Proportional to 65,145.17, 97,717.89 and 15,897.17

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Solution

The fourth proportional to 65,145.17, 97,717.89 and 15,897.17 is: 23,845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,145.17 : 97,717.89 = 15,897.17 : x
  2. Step 2: Convert to fraction form
    65,145.17/97,717.89 = 15,897.17/x
  3. Step 3: Cross multiply
    65,145.17x = 97,717.89 × 15,897.17
  4. Step 4: Simplify right side
    65,145.17x = 1,553,437,909.37
  5. Step 5: Solve for x
    x = 1,553,437,909.37/65,145.17
  6. Step 6: Final answer
    x = 23,845.79

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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.