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Finding the Fourth Proportional to 115,205.16, 172,836.86 and 32,099.16

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Solution

The fourth proportional to 115,205.16, 172,836.86 and 32,099.16 is: 48,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,205.16 : 172,836.86 = 32,099.16 : x
  2. Step 2: Convert to fraction form
    115,205.16/172,836.86 = 32,099.16/x
  3. Step 3: Cross multiply
    115,205.16x = 172,836.86 × 32,099.16
  4. Step 4: Simplify right side
    115,205.16x = 5,547,918,023.04
  5. Step 5: Solve for x
    x = 5,547,918,023.04/115,205.16
  6. Step 6: Final answer
    x = 48,156.85

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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.