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Finding the Fourth Proportional to 77,187.76, 106,523.02 and 45,366.90

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Solution

The fourth proportional to 77,187.76, 106,523.02 and 45,366.90 is: 62,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,187.76 : 106,523.02 = 45,366.90 : x
  2. Step 2: Convert to fraction form
    77,187.76/106,523.02 = 45,366.90/x
  3. Step 3: Cross multiply
    77,187.76x = 106,523.02 × 45,366.90
  4. Step 4: Simplify right side
    77,187.76x = 4,832,619,196.04
  5. Step 5: Solve for x
    x = 4,832,619,196.04/77,187.76
  6. Step 6: Final answer
    x = 62,608.62

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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.