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Finding the Fourth Proportional to 132,592.64, 198,827.29 and 48,294.11

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Solution

The fourth proportional to 132,592.64, 198,827.29 and 48,294.11 is: 72,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,592.64 : 198,827.29 = 48,294.11 : x
  2. Step 2: Convert to fraction form
    132,592.64/198,827.29 = 48,294.11/x
  3. Step 3: Cross multiply
    132,592.64x = 198,827.29 × 48,294.11
  4. Step 4: Simplify right side
    132,592.64x = 9,602,187,014.26
  5. Step 5: Solve for x
    x = 9,602,187,014.26/132,592.64
  6. Step 6: Final answer
    x = 72,418.71

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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.