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Finding the Fourth Proportional to 59,700.24, 82,358.78 and 38,486.34

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Solution

The fourth proportional to 59,700.24, 82,358.78 and 38,486.34 is: 53,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,700.24 : 82,358.78 = 38,486.34 : x
  2. Step 2: Convert to fraction form
    59,700.24/82,358.78 = 38,486.34/x
  3. Step 3: Cross multiply
    59,700.24x = 82,358.78 × 38,486.34
  4. Step 4: Simplify right side
    59,700.24x = 3,169,687,816.63
  5. Step 5: Solve for x
    x = 3,169,687,816.63/59,700.24
  6. Step 6: Final answer
    x = 53,093.38

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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.