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Finding the Fourth Proportional to 76,665.17, 105,785.28 and 42,672.78

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Solution

The fourth proportional to 76,665.17, 105,785.28 and 42,672.78 is: 58,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,665.17 : 105,785.28 = 42,672.78 : x
  2. Step 2: Convert to fraction form
    76,665.17/105,785.28 = 42,672.78/x
  3. Step 3: Cross multiply
    76,665.17x = 105,785.28 × 42,672.78
  4. Step 4: Simplify right side
    76,665.17x = 4,514,151,980.68
  5. Step 5: Solve for x
    x = 4,514,151,980.68/76,665.17
  6. Step 6: Final answer
    x = 58,881.39

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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.