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Finding the Fourth Proportional to 89,144.86, 133,717.50 and 22,585

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Solution

The fourth proportional to 89,144.86, 133,717.50 and 22,585 is: 33,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,144.86 : 133,717.50 = 22,585 : x
  2. Step 2: Convert to fraction form
    89,144.86/133,717.50 = 22,585/x
  3. Step 3: Cross multiply
    89,144.86x = 133,717.50 × 22,585
  4. Step 4: Simplify right side
    89,144.86x = 3,020,009,737.50
  5. Step 5: Solve for x
    x = 3,020,009,737.50/89,144.86
  6. Step 6: Final answer
    x = 33,877.55

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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.