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Finding the Fourth Proportional to 59,382, 81,947.16 and 32,886

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Solution

The fourth proportional to 59,382, 81,947.16 and 32,886 is: 45,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,382 : 81,947.16 = 32,886 : x
  2. Step 2: Convert to fraction form
    59,382/81,947.16 = 32,886/x
  3. Step 3: Cross multiply
    59,382x = 81,947.16 × 32,886
  4. Step 4: Simplify right side
    59,382x = 2,694,914,303.76
  5. Step 5: Solve for x
    x = 2,694,914,303.76/59,382
  6. Step 6: Final answer
    x = 45,382.68

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Why These Related Problems?

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