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Finding the Fourth Proportional to 30,337.81, 41,866.38 and 16,909.93

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Solution

The fourth proportional to 30,337.81, 41,866.38 and 16,909.93 is: 23,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,337.81 : 41,866.38 = 16,909.93 : x
  2. Step 2: Convert to fraction form
    30,337.81/41,866.38 = 16,909.93/x
  3. Step 3: Cross multiply
    30,337.81x = 41,866.38 × 16,909.93
  4. Step 4: Simplify right side
    30,337.81x = 707,957,345.82
  5. Step 5: Solve for x
    x = 707,957,345.82/30,337.81
  6. Step 6: Final answer
    x = 23,335.81

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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.