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Finding the Fourth Proportional to 132,580.48, 198,864.24 and 49,468

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Solution

The fourth proportional to 132,580.48, 198,864.24 and 49,468 is: 74,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,580.48 : 198,864.24 = 49,468 : x
  2. Step 2: Convert to fraction form
    132,580.48/198,864.24 = 49,468/x
  3. Step 3: Cross multiply
    132,580.48x = 198,864.24 × 49,468
  4. Step 4: Simplify right side
    132,580.48x = 9,837,416,224.32
  5. Step 5: Solve for x
    x = 9,837,416,224.32/132,580.48
  6. Step 6: Final answer
    x = 74,199.58

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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.