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Finding the Fourth Proportional to 57,031.38, 78,694.71 and 34,365.84

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Solution

The fourth proportional to 57,031.38, 78,694.71 and 34,365.84 is: 47,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,031.38 : 78,694.71 = 34,365.84 : x
  2. Step 2: Convert to fraction form
    57,031.38/78,694.71 = 34,365.84/x
  3. Step 3: Cross multiply
    57,031.38x = 78,694.71 × 34,365.84
  4. Step 4: Simplify right side
    57,031.38x = 2,704,409,812.71
  5. Step 5: Solve for x
    x = 2,704,409,812.71/57,031.38
  6. Step 6: Final answer
    x = 47,419.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.