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Finding the Fourth Proportional to 34,127.68, 51,200.76 and 10,434.58

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Solution

The fourth proportional to 34,127.68, 51,200.76 and 10,434.58 is: 15,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,127.68 : 51,200.76 = 10,434.58 : x
  2. Step 2: Convert to fraction form
    34,127.68/51,200.76 = 10,434.58/x
  3. Step 3: Cross multiply
    34,127.68x = 51,200.76 × 10,434.58
  4. Step 4: Simplify right side
    34,127.68x = 534,258,426.28
  5. Step 5: Solve for x
    x = 534,258,426.28/34,127.68
  6. Step 6: Final answer
    x = 15,654.70

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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.