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Finding the Fourth Proportional to 59,412.42, 89,162.19 and 47,865.06

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Solution

The fourth proportional to 59,412.42, 89,162.19 and 47,865.06 is: 71,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,412.42 : 89,162.19 = 47,865.06 : x
  2. Step 2: Convert to fraction form
    59,412.42/89,162.19 = 47,865.06/x
  3. Step 3: Cross multiply
    59,412.42x = 89,162.19 × 47,865.06
  4. Step 4: Simplify right side
    59,412.42x = 4,267,753,574.08
  5. Step 5: Solve for x
    x = 4,267,753,574.08/59,412.42
  6. Step 6: Final answer
    x = 71,832.68

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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.