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Finding the Fourth Proportional to 83,749, 125,681.10 and 34,501

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Solution

The fourth proportional to 83,749, 125,681.10 and 34,501 is: 51,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,749 : 125,681.10 = 34,501 : x
  2. Step 2: Convert to fraction form
    83,749/125,681.10 = 34,501/x
  3. Step 3: Cross multiply
    83,749x = 125,681.10 × 34,501
  4. Step 4: Simplify right side
    83,749x = 4,336,123,631.10
  5. Step 5: Solve for x
    x = 4,336,123,631.10/83,749
  6. Step 6: Final answer
    x = 51,775.23

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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.