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Finding the Fourth Proportional to 58,642.94, 80,926.92 and 31,785.15

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Solution

The fourth proportional to 58,642.94, 80,926.92 and 31,785.15 is: 43,863.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,642.94 : 80,926.92 = 31,785.15 : x
  2. Step 2: Convert to fraction form
    58,642.94/80,926.92 = 31,785.15/x
  3. Step 3: Cross multiply
    58,642.94x = 80,926.92 × 31,785.15
  4. Step 4: Simplify right side
    58,642.94x = 2,572,274,291.24
  5. Step 5: Solve for x
    x = 2,572,274,291.24/58,642.94
  6. Step 6: Final answer
    x = 43,863.33

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1.5x scale

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.