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Finding the Fourth Proportional to 32,602.88, 48,904.32 and 9,229.52

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Solution

The fourth proportional to 32,602.88, 48,904.32 and 9,229.52 is: 13,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,602.88 : 48,904.32 = 9,229.52 : x
  2. Step 2: Convert to fraction form
    32,602.88/48,904.32 = 9,229.52/x
  3. Step 3: Cross multiply
    32,602.88x = 48,904.32 × 9,229.52
  4. Step 4: Simplify right side
    32,602.88x = 451,363,399.53
  5. Step 5: Solve for x
    x = 451,363,399.53/32,602.88
  6. Step 6: Final answer
    x = 13,844.28

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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.