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Finding the Fourth Proportional to 52,407.68, 72,407.40 and 36,562.86

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Solution

The fourth proportional to 52,407.68, 72,407.40 and 36,562.86 is: 50,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407.68 : 72,407.40 = 36,562.86 : x
  2. Step 2: Convert to fraction form
    52,407.68/72,407.40 = 36,562.86/x
  3. Step 3: Cross multiply
    52,407.68x = 72,407.40 × 36,562.86
  4. Step 4: Simplify right side
    52,407.68x = 2,647,421,629.16
  5. Step 5: Solve for x
    x = 2,647,421,629.16/52,407.68
  6. Step 6: Final answer
    x = 50,515.91

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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.