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Finding the Fourth Proportional to 172,744, 259,116 and 48,088.24

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Solution

The fourth proportional to 172,744, 259,116 and 48,088.24 is: 72,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,744 : 259,116 = 48,088.24 : x
  2. Step 2: Convert to fraction form
    172,744/259,116 = 48,088.24/x
  3. Step 3: Cross multiply
    172,744x = 259,116 × 48,088.24
  4. Step 4: Simplify right side
    172,744x = 12,460,432,395.84
  5. Step 5: Solve for x
    x = 12,460,432,395.84/172,744
  6. Step 6: Final answer
    x = 72,132.36

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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.