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Finding the Fourth Proportional to 132,087.32, 198,130.50 and 47,827.78

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Solution

The fourth proportional to 132,087.32, 198,130.50 and 47,827.78 is: 71,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,087.32 : 198,130.50 = 47,827.78 : x
  2. Step 2: Convert to fraction form
    132,087.32/198,130.50 = 47,827.78/x
  3. Step 3: Cross multiply
    132,087.32x = 198,130.50 × 47,827.78
  4. Step 4: Simplify right side
    132,087.32x = 9,476,141,706.94
  5. Step 5: Solve for x
    x = 9,476,141,706.94/132,087.32
  6. Step 6: Final answer
    x = 71,741.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.