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Finding the Fourth Proportional to 47,632.70, 71,400.45 and 27,901.10

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Solution

The fourth proportional to 47,632.70, 71,400.45 and 27,901.10 is: 41,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,632.70 : 71,400.45 = 27,901.10 : x
  2. Step 2: Convert to fraction form
    47,632.70/71,400.45 = 27,901.10/x
  3. Step 3: Cross multiply
    47,632.70x = 71,400.45 × 27,901.10
  4. Step 4: Simplify right side
    47,632.70x = 1,992,151,095.50
  5. Step 5: Solve for x
    x = 1,992,151,095.50/47,632.70
  6. Step 6: Final answer
    x = 41,823.18

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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.