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Finding the Fourth Proportional to 78,095.91, 107,691.81 and 66,802.79

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Solution

The fourth proportional to 78,095.91, 107,691.81 and 66,802.79 is: 92,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,095.91 : 107,691.81 = 66,802.79 : x
  2. Step 2: Convert to fraction form
    78,095.91/107,691.81 = 66,802.79/x
  3. Step 3: Cross multiply
    78,095.91x = 107,691.81 × 66,802.79
  4. Step 4: Simplify right side
    78,095.91x = 7,194,113,637.38
  5. Step 5: Solve for x
    x = 7,194,113,637.38/78,095.91
  6. Step 6: Final answer
    x = 92,118.96

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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.