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Finding the Fourth Proportional to 103,042.88, 154,588.32 and 32,916.80

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Solution

The fourth proportional to 103,042.88, 154,588.32 and 32,916.80 is: 49,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,042.88 : 154,588.32 = 32,916.80 : x
  2. Step 2: Convert to fraction form
    103,042.88/154,588.32 = 32,916.80/x
  3. Step 3: Cross multiply
    103,042.88x = 154,588.32 × 32,916.80
  4. Step 4: Simplify right side
    103,042.88x = 5,088,552,811.78
  5. Step 5: Solve for x
    x = 5,088,552,811.78/103,042.88
  6. Step 6: Final answer
    x = 49,382.87

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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.