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Finding the Fourth Proportional to 32,055.30, 48,084.57 and 10,997.82

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Solution

The fourth proportional to 32,055.30, 48,084.57 and 10,997.82 is: 16,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,055.30 : 48,084.57 = 10,997.82 : x
  2. Step 2: Convert to fraction form
    32,055.30/48,084.57 = 10,997.82/x
  3. Step 3: Cross multiply
    32,055.30x = 48,084.57 × 10,997.82
  4. Step 4: Simplify right side
    32,055.30x = 528,825,445.64
  5. Step 5: Solve for x
    x = 528,825,445.64/32,055.30
  6. Step 6: Final answer
    x = 16,497.29

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Double scale
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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.