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Finding the Fourth Proportional to 29,148.65, 40,127.85 and 27,809.61

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Solution

The fourth proportional to 29,148.65, 40,127.85 and 27,809.61 is: 38,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,148.65 : 40,127.85 = 27,809.61 : x
  2. Step 2: Convert to fraction form
    29,148.65/40,127.85 = 27,809.61/x
  3. Step 3: Cross multiply
    29,148.65x = 40,127.85 × 27,809.61
  4. Step 4: Simplify right side
    29,148.65x = 1,115,939,858.64
  5. Step 5: Solve for x
    x = 1,115,939,858.64/29,148.65
  6. Step 6: Final answer
    x = 38,284.45

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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.