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Finding the Fourth Proportional to 59,647.96, 82,314.36 and 34,154.71

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Solution

The fourth proportional to 59,647.96, 82,314.36 and 34,154.71 is: 47,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,647.96 : 82,314.36 = 34,154.71 : x
  2. Step 2: Convert to fraction form
    59,647.96/82,314.36 = 34,154.71/x
  3. Step 3: Cross multiply
    59,647.96x = 82,314.36 × 34,154.71
  4. Step 4: Simplify right side
    59,647.96x = 2,811,423,351.87
  5. Step 5: Solve for x
    x = 2,811,423,351.87/59,647.96
  6. Step 6: Final answer
    x = 47,133.60

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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.