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Finding the Fourth Proportional to 59,074, 81,522.12 and 32,578

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Solution

The fourth proportional to 59,074, 81,522.12 and 32,578 is: 44,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,074 : 81,522.12 = 32,578 : x
  2. Step 2: Convert to fraction form
    59,074/81,522.12 = 32,578/x
  3. Step 3: Cross multiply
    59,074x = 81,522.12 × 32,578
  4. Step 4: Simplify right side
    59,074x = 2,655,827,625.36
  5. Step 5: Solve for x
    x = 2,655,827,625.36/59,074
  6. Step 6: Final answer
    x = 44,957.64

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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.