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Finding the Fourth Proportional to 47,950.47, 66,178.08 and 27,813.60

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Solution

The fourth proportional to 47,950.47, 66,178.08 and 27,813.60 is: 38,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,950.47 : 66,178.08 = 27,813.60 : x
  2. Step 2: Convert to fraction form
    47,950.47/66,178.08 = 27,813.60/x
  3. Step 3: Cross multiply
    47,950.47x = 66,178.08 × 27,813.60
  4. Step 4: Simplify right side
    47,950.47x = 1,840,650,645.89
  5. Step 5: Solve for x
    x = 1,840,650,645.89/47,950.47
  6. Step 6: Final answer
    x = 38,386.50

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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.