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Finding the Fourth Proportional to 70,876.96, 106,070.23 and 58,078.79

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Solution

The fourth proportional to 70,876.96, 106,070.23 and 58,078.79 is: 86,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,876.96 : 106,070.23 = 58,078.79 : x
  2. Step 2: Convert to fraction form
    70,876.96/106,070.23 = 58,078.79/x
  3. Step 3: Cross multiply
    70,876.96x = 106,070.23 × 58,078.79
  4. Step 4: Simplify right side
    70,876.96x = 6,160,429,935.74
  5. Step 5: Solve for x
    x = 6,160,429,935.74/70,876.96
  6. Step 6: Final answer
    x = 86,917.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.