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Finding the Fourth Proportional to 52,569.76, 78,716.40 and 40,266.40

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Solution

The fourth proportional to 52,569.76, 78,716.40 and 40,266.40 is: 60,293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,569.76 : 78,716.40 = 40,266.40 : x
  2. Step 2: Convert to fraction form
    52,569.76/78,716.40 = 40,266.40/x
  3. Step 3: Cross multiply
    52,569.76x = 78,716.40 × 40,266.40
  4. Step 4: Simplify right side
    52,569.76x = 3,169,626,048.96
  5. Step 5: Solve for x
    x = 3,169,626,048.96/52,569.76
  6. Step 6: Final answer
    x = 60,293.71

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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.