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Finding the Fourth Proportional to 59,584.29, 82,195.89 and 38,051.40

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Solution

The fourth proportional to 59,584.29, 82,195.89 and 38,051.40 is: 52,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,584.29 : 82,195.89 = 38,051.40 : x
  2. Step 2: Convert to fraction form
    59,584.29/82,195.89 = 38,051.40/x
  3. Step 3: Cross multiply
    59,584.29x = 82,195.89 × 38,051.40
  4. Step 4: Simplify right side
    59,584.29x = 3,127,668,688.75
  5. Step 5: Solve for x
    x = 3,127,668,688.75/59,584.29
  6. Step 6: Final answer
    x = 52,491.50

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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.