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Finding the Fourth Proportional to 58,570.28, 80,826.86 and 31,712.80

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Solution

The fourth proportional to 58,570.28, 80,826.86 and 31,712.80 is: 43,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,570.28 : 80,826.86 = 31,712.80 : x
  2. Step 2: Convert to fraction form
    58,570.28/80,826.86 = 31,712.80/x
  3. Step 3: Cross multiply
    58,570.28x = 80,826.86 × 31,712.80
  4. Step 4: Simplify right side
    58,570.28x = 2,563,246,045.81
  5. Step 5: Solve for x
    x = 2,563,246,045.81/58,570.28
  6. Step 6: Final answer
    x = 43,763.60

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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.