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Finding the Fourth Proportional to 30,756.86, 42,444.47 and 16,609.71

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Solution

The fourth proportional to 30,756.86, 42,444.47 and 16,609.71 is: 22,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,756.86 : 42,444.47 = 16,609.71 : x
  2. Step 2: Convert to fraction form
    30,756.86/42,444.47 = 16,609.71/x
  3. Step 3: Cross multiply
    30,756.86x = 42,444.47 × 16,609.71
  4. Step 4: Simplify right side
    30,756.86x = 704,990,125.58
  5. Step 5: Solve for x
    x = 704,990,125.58/30,756.86
  6. Step 6: Final answer
    x = 22,921.39

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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.