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Finding the Fourth Proportional to 65,092.86, 97,638.57 and 15,844.86

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Solution

The fourth proportional to 65,092.86, 97,638.57 and 15,844.86 is: 23,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,092.86 : 97,638.57 = 15,844.86 : x
  2. Step 2: Convert to fraction form
    65,092.86/97,638.57 = 15,844.86/x
  3. Step 3: Cross multiply
    65,092.86x = 97,638.57 × 15,844.86
  4. Step 4: Simplify right side
    65,092.86x = 1,547,069,472.25
  5. Step 5: Solve for x
    x = 1,547,069,472.25/65,092.86
  6. Step 6: Final answer
    x = 23,767.11

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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.