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Finding the Fourth Proportional to 84,134.52, 116,093.70 and 52,291.80

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Solution

The fourth proportional to 84,134.52, 116,093.70 and 52,291.80 is: 72,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,134.52 : 116,093.70 = 52,291.80 : x
  2. Step 2: Convert to fraction form
    84,134.52/116,093.70 = 52,291.80/x
  3. Step 3: Cross multiply
    84,134.52x = 116,093.70 × 52,291.80
  4. Step 4: Simplify right side
    84,134.52x = 6,070,748,541.66
  5. Step 5: Solve for x
    x = 6,070,748,541.66/84,134.52
  6. Step 6: Final answer
    x = 72,155.26

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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.