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Finding the Fourth Proportional to 132,753.48, 199,123.74 and 49,641

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Solution

The fourth proportional to 132,753.48, 199,123.74 and 49,641 is: 74,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,753.48 : 199,123.74 = 49,641 : x
  2. Step 2: Convert to fraction form
    132,753.48/199,123.74 = 49,641/x
  3. Step 3: Cross multiply
    132,753.48x = 199,123.74 × 49,641
  4. Step 4: Simplify right side
    132,753.48x = 9,884,701,577.34
  5. Step 5: Solve for x
    x = 9,884,701,577.34/132,753.48
  6. Step 6: Final answer
    x = 74,459.08

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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.