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Finding the Fourth Proportional to 59,641.76, 82,305.64 and 32,786

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Solution

The fourth proportional to 59,641.76, 82,305.64 and 32,786 is: 45,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,641.76 : 82,305.64 = 32,786 : x
  2. Step 2: Convert to fraction form
    59,641.76/82,305.64 = 32,786/x
  3. Step 3: Cross multiply
    59,641.76x = 82,305.64 × 32,786
  4. Step 4: Simplify right side
    59,641.76x = 2,698,472,713.04
  5. Step 5: Solve for x
    x = 2,698,472,713.04/59,641.76
  6. Step 6: Final answer
    x = 45,244.69

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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.