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Finding the Fourth Proportional to 83,030.40, 114,445.42 and 58,839.48

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Solution

The fourth proportional to 83,030.40, 114,445.42 and 58,839.48 is: 81,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,030.40 : 114,445.42 = 58,839.48 : x
  2. Step 2: Convert to fraction form
    83,030.40/114,445.42 = 58,839.48/x
  3. Step 3: Cross multiply
    83,030.40x = 114,445.42 × 58,839.48
  4. Step 4: Simplify right side
    83,030.40x = 6,733,909,001.18
  5. Step 5: Solve for x
    x = 6,733,909,001.18/83,030.40
  6. Step 6: Final answer
    x = 81,101.73

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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.