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Finding the Fourth Proportional to 115,153, 172,729.50 and 32,049.16

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Solution

The fourth proportional to 115,153, 172,729.50 and 32,049.16 is: 48,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,153 : 172,729.50 = 32,049.16 : x
  2. Step 2: Convert to fraction form
    115,153/172,729.50 = 32,049.16/x
  3. Step 3: Cross multiply
    115,153x = 172,729.50 × 32,049.16
  4. Step 4: Simplify right side
    115,153x = 5,535,835,382.22
  5. Step 5: Solve for x
    x = 5,535,835,382.22/115,153
  6. Step 6: Final answer
    x = 48,073.74

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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.