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Finding the Fourth Proportional to 59,724, 82,419.12 and 34,573.50

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Solution

The fourth proportional to 59,724, 82,419.12 and 34,573.50 is: 47,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,724 : 82,419.12 = 34,573.50 : x
  2. Step 2: Convert to fraction form
    59,724/82,419.12 = 34,573.50/x
  3. Step 3: Cross multiply
    59,724x = 82,419.12 × 34,573.50
  4. Step 4: Simplify right side
    59,724x = 2,849,517,445.32
  5. Step 5: Solve for x
    x = 2,849,517,445.32/59,724
  6. Step 6: Final answer
    x = 47,711.43

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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.