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Finding the Fourth Proportional to 57,712, 79,642.72 and 31,216

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Solution

The fourth proportional to 57,712, 79,642.72 and 31,216 is: 43,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,712 : 79,642.72 = 31,216 : x
  2. Step 2: Convert to fraction form
    57,712/79,642.72 = 31,216/x
  3. Step 3: Cross multiply
    57,712x = 79,642.72 × 31,216
  4. Step 4: Simplify right side
    57,712x = 2,486,127,147.52
  5. Step 5: Solve for x
    x = 2,486,127,147.52/57,712
  6. Step 6: Final answer
    x = 43,078.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.