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Finding the Fourth Proportional to 60,712, 83,782.56 and 34,216

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Solution

The fourth proportional to 60,712, 83,782.56 and 34,216 is: 47,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,712 : 83,782.56 = 34,216 : x
  2. Step 2: Convert to fraction form
    60,712/83,782.56 = 34,216/x
  3. Step 3: Cross multiply
    60,712x = 83,782.56 × 34,216
  4. Step 4: Simplify right side
    60,712x = 2,866,704,072.96
  5. Step 5: Solve for x
    x = 2,866,704,072.96/60,712
  6. Step 6: Final answer
    x = 47,218.08

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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.