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Finding the Fourth Proportional to 32,451.52, 48,677.28 and 7,827.52

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Solution

The fourth proportional to 32,451.52, 48,677.28 and 7,827.52 is: 11,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,451.52 : 48,677.28 = 7,827.52 : x
  2. Step 2: Convert to fraction form
    32,451.52/48,677.28 = 7,827.52/x
  3. Step 3: Cross multiply
    32,451.52x = 48,677.28 × 7,827.52
  4. Step 4: Simplify right side
    32,451.52x = 381,022,382.75
  5. Step 5: Solve for x
    x = 381,022,382.75/32,451.52
  6. Step 6: Final answer
    x = 11,741.28

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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.