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Finding the Fourth Proportional to 132,639.48, 198,952.74 and 49,527

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Solution

The fourth proportional to 132,639.48, 198,952.74 and 49,527 is: 74,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,639.48 : 198,952.74 = 49,527 : x
  2. Step 2: Convert to fraction form
    132,639.48/198,952.74 = 49,527/x
  3. Step 3: Cross multiply
    132,639.48x = 198,952.74 × 49,527
  4. Step 4: Simplify right side
    132,639.48x = 9,853,532,353.98
  5. Step 5: Solve for x
    x = 9,853,532,353.98/132,639.48
  6. Step 6: Final answer
    x = 74,288.08

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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.