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Finding the Fourth Proportional to 52,562.80, 72,534 and 28,689.28

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Solution

The fourth proportional to 52,562.80, 72,534 and 28,689.28 is: 39,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,562.80 : 72,534 = 28,689.28 : x
  2. Step 2: Convert to fraction form
    52,562.80/72,534 = 28,689.28/x
  3. Step 3: Cross multiply
    52,562.80x = 72,534 × 28,689.28
  4. Step 4: Simplify right side
    52,562.80x = 2,080,948,235.52
  5. Step 5: Solve for x
    x = 2,080,948,235.52/52,562.80
  6. Step 6: Final answer
    x = 39,589.75

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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.