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Finding the Fourth Proportional to 72,932, 100,646.14 and 41,102.04

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Solution

The fourth proportional to 72,932, 100,646.14 and 41,102.04 is: 56,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,932 : 100,646.14 = 41,102.04 : x
  2. Step 2: Convert to fraction form
    72,932/100,646.14 = 41,102.04/x
  3. Step 3: Cross multiply
    72,932x = 100,646.14 × 41,102.04
  4. Step 4: Simplify right side
    72,932x = 4,136,761,672.13
  5. Step 5: Solve for x
    x = 4,136,761,672.13/72,932
  6. Step 6: Final answer
    x = 56,720.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.