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Finding the Fourth Proportional to 78,214.52, 107,925.72 and 44,227.64

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Solution

The fourth proportional to 78,214.52, 107,925.72 and 44,227.64 is: 61,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,214.52 : 107,925.72 = 44,227.64 : x
  2. Step 2: Convert to fraction form
    78,214.52/107,925.72 = 44,227.64/x
  3. Step 3: Cross multiply
    78,214.52x = 107,925.72 × 44,227.64
  4. Step 4: Simplify right side
    78,214.52x = 4,773,299,890.90
  5. Step 5: Solve for x
    x = 4,773,299,890.90/78,214.52
  6. Step 6: Final answer
    x = 61,028.31

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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.