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Finding the Fourth Proportional to 115,242, 172,892.16 and 32,136

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Solution

The fourth proportional to 115,242, 172,892.16 and 32,136 is: 48,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,242 : 172,892.16 = 32,136 : x
  2. Step 2: Convert to fraction form
    115,242/172,892.16 = 32,136/x
  3. Step 3: Cross multiply
    115,242x = 172,892.16 × 32,136
  4. Step 4: Simplify right side
    115,242x = 5,556,062,453.76
  5. Step 5: Solve for x
    x = 5,556,062,453.76/115,242
  6. Step 6: Final answer
    x = 48,212.13

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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.