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Finding the Fourth Proportional to 77,246.48, 115,748.76 and 61,659.92

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Solution

The fourth proportional to 77,246.48, 115,748.76 and 61,659.92 is: 92,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,246.48 : 115,748.76 = 61,659.92 : x
  2. Step 2: Convert to fraction form
    77,246.48/115,748.76 = 61,659.92/x
  3. Step 3: Cross multiply
    77,246.48x = 115,748.76 × 61,659.92
  4. Step 4: Simplify right side
    77,246.48x = 7,137,059,281.70
  5. Step 5: Solve for x
    x = 7,137,059,281.70/77,246.48
  6. Step 6: Final answer
    x = 92,393.33

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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.