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Finding the Fourth Proportional to 52,712.16, 78,707.16 and 44,916.96

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Solution

The fourth proportional to 52,712.16, 78,707.16 and 44,916.96 is: 67,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,712.16 : 78,707.16 = 44,916.96 : x
  2. Step 2: Convert to fraction form
    52,712.16/78,707.16 = 44,916.96/x
  3. Step 3: Cross multiply
    52,712.16x = 78,707.16 × 44,916.96
  4. Step 4: Simplify right side
    52,712.16x = 3,535,286,357.43
  5. Step 5: Solve for x
    x = 3,535,286,357.43/52,712.16
  6. Step 6: Final answer
    x = 67,067.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.