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Finding the Fourth Proportional to 83,419.14, 124,814.76 and 58,507.80

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Solution

The fourth proportional to 83,419.14, 124,814.76 and 58,507.80 is: 87,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,419.14 : 124,814.76 = 58,507.80 : x
  2. Step 2: Convert to fraction form
    83,419.14/124,814.76 = 58,507.80/x
  3. Step 3: Cross multiply
    83,419.14x = 124,814.76 × 58,507.80
  4. Step 4: Simplify right side
    83,419.14x = 7,302,637,015.13
  5. Step 5: Solve for x
    x = 7,302,637,015.13/83,419.14
  6. Step 6: Final answer
    x = 87,541.50

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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.