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Finding the Fourth Proportional to 92,232.81, 138,354.19 and 29,057.90

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Solution

The fourth proportional to 92,232.81, 138,354.19 and 29,057.90 is: 43,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,232.81 : 138,354.19 = 29,057.90 : x
  2. Step 2: Convert to fraction form
    92,232.81/138,354.19 = 29,057.90/x
  3. Step 3: Cross multiply
    92,232.81x = 138,354.19 × 29,057.90
  4. Step 4: Simplify right side
    92,232.81x = 4,020,281,453.19
  5. Step 5: Solve for x
    x = 4,020,281,453.19/92,232.81
  6. Step 6: Final answer
    x = 43,588.41

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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.