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Finding the Fourth Proportional to 32,557.80, 48,842.10 and 13,846.80

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Solution

The fourth proportional to 32,557.80, 48,842.10 and 13,846.80 is: 20,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,557.80 : 48,842.10 = 13,846.80 : x
  2. Step 2: Convert to fraction form
    32,557.80/48,842.10 = 13,846.80/x
  3. Step 3: Cross multiply
    32,557.80x = 48,842.10 × 13,846.80
  4. Step 4: Simplify right side
    32,557.80x = 676,306,790.28
  5. Step 5: Solve for x
    x = 676,306,790.28/32,557.80
  6. Step 6: Final answer
    x = 20,772.50

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1.5x scale

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.