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Finding the Fourth Proportional to 59,643.61, 82,309.21 and 32,787.25

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Solution

The fourth proportional to 59,643.61, 82,309.21 and 32,787.25 is: 45,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,643.61 : 82,309.21 = 32,787.25 : x
  2. Step 2: Convert to fraction form
    59,643.61/82,309.21 = 32,787.25/x
  3. Step 3: Cross multiply
    59,643.61x = 82,309.21 × 32,787.25
  4. Step 4: Simplify right side
    59,643.61x = 2,698,692,954.23
  5. Step 5: Solve for x
    x = 2,698,692,954.23/59,643.61
  6. Step 6: Final answer
    x = 45,246.97

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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.