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Finding the Fourth Proportional to 65,122.86, 97,688.04 and 25,142.04

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Solution

The fourth proportional to 65,122.86, 97,688.04 and 25,142.04 is: 37,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,122.86 : 97,688.04 = 25,142.04 : x
  2. Step 2: Convert to fraction form
    65,122.86/97,688.04 = 25,142.04/x
  3. Step 3: Cross multiply
    65,122.86x = 97,688.04 × 25,142.04
  4. Step 4: Simplify right side
    65,122.86x = 2,456,076,609.20
  5. Step 5: Solve for x
    x = 2,456,076,609.20/65,122.86
  6. Step 6: Final answer
    x = 37,714.51

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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.