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Finding the Fourth Proportional to 55,953.97, 83,931.84 and 31,151.66

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Solution

The fourth proportional to 55,953.97, 83,931.84 and 31,151.66 is: 46,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,953.97 : 83,931.84 = 31,151.66 : x
  2. Step 2: Convert to fraction form
    55,953.97/83,931.84 = 31,151.66/x
  3. Step 3: Cross multiply
    55,953.97x = 83,931.84 × 31,151.66
  4. Step 4: Simplify right side
    55,953.97x = 2,614,616,142.85
  5. Step 5: Solve for x
    x = 2,614,616,142.85/55,953.97
  6. Step 6: Final answer
    x = 46,727.98

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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.