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Finding the Fourth Proportional to 64,862.86, 97,294.56 and 18,116.14

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Solution

The fourth proportional to 64,862.86, 97,294.56 and 18,116.14 is: 27,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,862.86 : 97,294.56 = 18,116.14 : x
  2. Step 2: Convert to fraction form
    64,862.86/97,294.56 = 18,116.14/x
  3. Step 3: Cross multiply
    64,862.86x = 97,294.56 × 18,116.14
  4. Step 4: Simplify right side
    64,862.86x = 1,762,601,870.20
  5. Step 5: Solve for x
    x = 1,762,601,870.20/64,862.86
  6. Step 6: Final answer
    x = 27,174.29

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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.