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Finding the Fourth Proportional to 54,005.99, 74,527.61 and 29,807.13

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Solution

The fourth proportional to 54,005.99, 74,527.61 and 29,807.13 is: 41,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,005.99 : 74,527.61 = 29,807.13 : x
  2. Step 2: Convert to fraction form
    54,005.99/74,527.61 = 29,807.13/x
  3. Step 3: Cross multiply
    54,005.99x = 74,527.61 × 29,807.13
  4. Step 4: Simplify right side
    54,005.99x = 2,221,454,234.38
  5. Step 5: Solve for x
    x = 2,221,454,234.38/54,005.99
  6. Step 6: Final answer
    x = 41,133.48

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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.