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Finding the Fourth Proportional to 70,828.38, 97,713.87 and 42,142.31

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Solution

The fourth proportional to 70,828.38, 97,713.87 and 42,142.31 is: 58,138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,828.38 : 97,713.87 = 42,142.31 : x
  2. Step 2: Convert to fraction form
    70,828.38/97,713.87 = 42,142.31/x
  3. Step 3: Cross multiply
    70,828.38x = 97,713.87 × 42,142.31
  4. Step 4: Simplify right side
    70,828.38x = 4,117,887,712.27
  5. Step 5: Solve for x
    x = 4,117,887,712.27/70,828.38
  6. Step 6: Final answer
    x = 58,138.95

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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.