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Finding the Fourth Proportional to 57,772.57, 79,718.20 and 32,275.77

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Solution

The fourth proportional to 57,772.57, 79,718.20 and 32,275.77 is: 44,536.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,772.57 : 79,718.20 = 32,275.77 : x
  2. Step 2: Convert to fraction form
    57,772.57/79,718.20 = 32,275.77/x
  3. Step 3: Cross multiply
    57,772.57x = 79,718.20 × 32,275.77
  4. Step 4: Simplify right side
    57,772.57x = 2,572,965,999.16
  5. Step 5: Solve for x
    x = 2,572,965,999.16/57,772.57
  6. Step 6: Final answer
    x = 44,536.12

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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.