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Finding the Fourth Proportional to 90,462.52, 124,835.33 and 54,646.30

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Solution

The fourth proportional to 90,462.52, 124,835.33 and 54,646.30 is: 75,410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,462.52 : 124,835.33 = 54,646.30 : x
  2. Step 2: Convert to fraction form
    90,462.52/124,835.33 = 54,646.30/x
  3. Step 3: Cross multiply
    90,462.52x = 124,835.33 × 54,646.30
  4. Step 4: Simplify right side
    90,462.52x = 6,821,788,176.85
  5. Step 5: Solve for x
    x = 6,821,788,176.85/90,462.52
  6. Step 6: Final answer
    x = 75,410.10

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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.