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Finding the Fourth Proportional to 47,321.52, 70,914.22 and 32,547.12

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Solution

The fourth proportional to 47,321.52, 70,914.22 and 32,547.12 is: 48,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,321.52 : 70,914.22 = 32,547.12 : x
  2. Step 2: Convert to fraction form
    47,321.52/70,914.22 = 32,547.12/x
  3. Step 3: Cross multiply
    47,321.52x = 70,914.22 × 32,547.12
  4. Step 4: Simplify right side
    47,321.52x = 2,308,053,628.05
  5. Step 5: Solve for x
    x = 2,308,053,628.05/47,321.52
  6. Step 6: Final answer
    x = 48,773.87

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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.