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Finding the Fourth Proportional to 30,838.68, 42,557.55 and 16,691.52

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Solution

The fourth proportional to 30,838.68, 42,557.55 and 16,691.52 is: 23,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.68 : 42,557.55 = 16,691.52 : x
  2. Step 2: Convert to fraction form
    30,838.68/42,557.55 = 16,691.52/x
  3. Step 3: Cross multiply
    30,838.68x = 42,557.55 × 16,691.52
  4. Step 4: Simplify right side
    30,838.68x = 710,350,196.98
  5. Step 5: Solve for x
    x = 710,350,196.98/30,838.68
  6. Step 6: Final answer
    x = 23,034.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.