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Finding the Fourth Proportional to 56,223.38, 77,585.64 and 30,731.06

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Solution

The fourth proportional to 56,223.38, 77,585.64 and 30,731.06 is: 42,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,223.38 : 77,585.64 = 30,731.06 : x
  2. Step 2: Convert to fraction form
    56,223.38/77,585.64 = 30,731.06/x
  3. Step 3: Cross multiply
    56,223.38x = 77,585.64 × 30,731.06
  4. Step 4: Simplify right side
    56,223.38x = 2,384,288,957.98
  5. Step 5: Solve for x
    x = 2,384,288,957.98/56,223.38
  6. Step 6: Final answer
    x = 42,407.43

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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.