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Finding the Fourth Proportional to 115,249, 172,902.70 and 32,143

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Solution

The fourth proportional to 115,249, 172,902.70 and 32,143 is: 48,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,249 : 172,902.70 = 32,143 : x
  2. Step 2: Convert to fraction form
    115,249/172,902.70 = 32,143/x
  3. Step 3: Cross multiply
    115,249x = 172,902.70 × 32,143
  4. Step 4: Simplify right side
    115,249x = 5,557,611,486.10
  5. Step 5: Solve for x
    x = 5,557,611,486.10/115,249
  6. Step 6: Final answer
    x = 48,222.64

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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.