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Finding the Fourth Proportional to 78,227.04, 107,925.03 and 51,384

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Solution

The fourth proportional to 78,227.04, 107,925.03 and 51,384 is: 70,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,227.04 : 107,925.03 = 51,384 : x
  2. Step 2: Convert to fraction form
    78,227.04/107,925.03 = 51,384/x
  3. Step 3: Cross multiply
    78,227.04x = 107,925.03 × 51,384
  4. Step 4: Simplify right side
    78,227.04x = 5,545,619,741.52
  5. Step 5: Solve for x
    x = 5,545,619,741.52/78,227.04
  6. Step 6: Final answer
    x = 70,891.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.