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Finding the Fourth Proportional to 47,929.68, 66,143.22 and 27,798.49

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Solution

The fourth proportional to 47,929.68, 66,143.22 and 27,798.49 is: 38,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,929.68 : 66,143.22 = 27,798.49 : x
  2. Step 2: Convert to fraction form
    47,929.68/66,143.22 = 27,798.49/x
  3. Step 3: Cross multiply
    47,929.68x = 66,143.22 × 27,798.49
  4. Step 4: Simplify right side
    47,929.68x = 1,838,681,639.74
  5. Step 5: Solve for x
    x = 1,838,681,639.74/47,929.68
  6. Step 6: Final answer
    x = 38,362.07

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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.