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Finding the Fourth Proportional to 90,148.96, 124,416 and 54,357.28

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Solution

The fourth proportional to 90,148.96, 124,416 and 54,357.28 is: 75,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,148.96 : 124,416 = 54,357.28 : x
  2. Step 2: Convert to fraction form
    90,148.96/124,416 = 54,357.28/x
  3. Step 3: Cross multiply
    90,148.96x = 124,416 × 54,357.28
  4. Step 4: Simplify right side
    90,148.96x = 6,762,915,348.48
  5. Step 5: Solve for x
    x = 6,762,915,348.48/90,148.96
  6. Step 6: Final answer
    x = 75,019.34

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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.