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Finding the Fourth Proportional to 57,033, 78,705.54 and 34,677

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Solution

The fourth proportional to 57,033, 78,705.54 and 34,677 is: 47,854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,033 : 78,705.54 = 34,677 : x
  2. Step 2: Convert to fraction form
    57,033/78,705.54 = 34,677/x
  3. Step 3: Cross multiply
    57,033x = 78,705.54 × 34,677
  4. Step 4: Simplify right side
    57,033x = 2,729,272,010.58
  5. Step 5: Solve for x
    x = 2,729,272,010.58/57,033
  6. Step 6: Final answer
    x = 47,854.26

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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.