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Finding the Fourth Proportional to 52,293.76, 78,365.76 and 40,552

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Solution

The fourth proportional to 52,293.76, 78,365.76 and 40,552 is: 60,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,293.76 : 78,365.76 = 40,552 : x
  2. Step 2: Convert to fraction form
    52,293.76/78,365.76 = 40,552/x
  3. Step 3: Cross multiply
    52,293.76x = 78,365.76 × 40,552
  4. Step 4: Simplify right side
    52,293.76x = 3,177,888,299.52
  5. Step 5: Solve for x
    x = 3,177,888,299.52/52,293.76
  6. Step 6: Final answer
    x = 60,769.93

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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.