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Finding the Fourth Proportional to 32,022.16, 48,034.62 and 9,836.40

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Solution

The fourth proportional to 32,022.16, 48,034.62 and 9,836.40 is: 14,755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.16 : 48,034.62 = 9,836.40 : x
  2. Step 2: Convert to fraction form
    32,022.16/48,034.62 = 9,836.40/x
  3. Step 3: Cross multiply
    32,022.16x = 48,034.62 × 9,836.40
  4. Step 4: Simplify right side
    32,022.16x = 472,487,736.17
  5. Step 5: Solve for x
    x = 472,487,736.17/32,022.16
  6. Step 6: Final answer
    x = 14,755.02

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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.