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Finding the Fourth Proportional to 77,264.93, 115,946.17 and 32,891.63

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Solution

The fourth proportional to 77,264.93, 115,946.17 and 32,891.63 is: 49,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,264.93 : 115,946.17 = 32,891.63 : x
  2. Step 2: Convert to fraction form
    77,264.93/115,946.17 = 32,891.63/x
  3. Step 3: Cross multiply
    77,264.93x = 115,946.17 × 32,891.63
  4. Step 4: Simplify right side
    77,264.93x = 3,813,657,861.60
  5. Step 5: Solve for x
    x = 3,813,657,861.60/77,264.93
  6. Step 6: Final answer
    x = 49,358.20

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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.