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Finding the Fourth Proportional to 75,294.48, 112,966.32 and 54,217.26

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Solution

The fourth proportional to 75,294.48, 112,966.32 and 54,217.26 is: 81,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,294.48 : 112,966.32 = 54,217.26 : x
  2. Step 2: Convert to fraction form
    75,294.48/112,966.32 = 54,217.26/x
  3. Step 3: Cross multiply
    75,294.48x = 112,966.32 × 54,217.26
  4. Step 4: Simplify right side
    75,294.48x = 6,124,724,342.68
  5. Step 5: Solve for x
    x = 6,124,724,342.68/75,294.48
  6. Step 6: Final answer
    x = 81,343.60

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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.