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Finding the Fourth Proportional to 55,696.63, 83,543.55 and 16,254.08

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Solution

The fourth proportional to 55,696.63, 83,543.55 and 16,254.08 is: 24,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,696.63 : 83,543.55 = 16,254.08 : x
  2. Step 2: Convert to fraction form
    55,696.63/83,543.55 = 16,254.08/x
  3. Step 3: Cross multiply
    55,696.63x = 83,543.55 × 16,254.08
  4. Step 4: Simplify right side
    55,696.63x = 1,357,923,545.18
  5. Step 5: Solve for x
    x = 1,357,923,545.18/55,696.63
  6. Step 6: Final answer
    x = 24,380.71

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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.