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Finding the Fourth Proportional to 59,966.50, 82,761.06 and 34,816

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Solution

The fourth proportional to 59,966.50, 82,761.06 and 34,816 is: 48,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,966.50 : 82,761.06 = 34,816 : x
  2. Step 2: Convert to fraction form
    59,966.50/82,761.06 = 34,816/x
  3. Step 3: Cross multiply
    59,966.50x = 82,761.06 × 34,816
  4. Step 4: Simplify right side
    59,966.50x = 2,881,409,064.96
  5. Step 5: Solve for x
    x = 2,881,409,064.96/59,966.50
  6. Step 6: Final answer
    x = 48,050.31

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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.