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Finding the Fourth Proportional to 115,200.16, 172,829.36 and 32,094.16

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Solution

The fourth proportional to 115,200.16, 172,829.36 and 32,094.16 is: 48,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,200.16 : 172,829.36 = 32,094.16 : x
  2. Step 2: Convert to fraction form
    115,200.16/172,829.36 = 32,094.16/x
  3. Step 3: Cross multiply
    115,200.16x = 172,829.36 × 32,094.16
  4. Step 4: Simplify right side
    115,200.16x = 5,546,812,780.70
  5. Step 5: Solve for x
    x = 5,546,812,780.70/115,200.16
  6. Step 6: Final answer
    x = 48,149.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.