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Finding the Fourth Proportional to 32,641.87, 48,984.70 and 20,963.29

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Solution

The fourth proportional to 32,641.87, 48,984.70 and 20,963.29 is: 31,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641.87 : 48,984.70 = 20,963.29 : x
  2. Step 2: Convert to fraction form
    32,641.87/48,984.70 = 20,963.29/x
  3. Step 3: Cross multiply
    32,641.87x = 48,984.70 × 20,963.29
  4. Step 4: Simplify right side
    32,641.87x = 1,026,880,471.66
  5. Step 5: Solve for x
    x = 1,026,880,471.66/32,641.87
  6. Step 6: Final answer
    x = 31,459.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.