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Finding the Fourth Proportional to 172,683.84, 259,047.72 and 48,024.96

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Solution

The fourth proportional to 172,683.84, 259,047.72 and 48,024.96 is: 72,043.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,683.84 : 259,047.72 = 48,024.96 : x
  2. Step 2: Convert to fraction form
    172,683.84/259,047.72 = 48,024.96/x
  3. Step 3: Cross multiply
    172,683.84x = 259,047.72 × 48,024.96
  4. Step 4: Simplify right side
    172,683.84x = 12,440,756,391.09
  5. Step 5: Solve for x
    x = 12,440,756,391.09/172,683.84
  6. Step 6: Final answer
    x = 72,043.55

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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.