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Finding the Fourth Proportional to 65,143.17, 97,714.89 and 15,895.17

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Solution

The fourth proportional to 65,143.17, 97,714.89 and 15,895.17 is: 23,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,143.17 : 97,714.89 = 15,895.17 : x
  2. Step 2: Convert to fraction form
    65,143.17/97,714.89 = 15,895.17/x
  3. Step 3: Cross multiply
    65,143.17x = 97,714.89 × 15,895.17
  4. Step 4: Simplify right side
    65,143.17x = 1,553,194,788.08
  5. Step 5: Solve for x
    x = 1,553,194,788.08/65,143.17
  6. Step 6: Final answer
    x = 23,842.79

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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.