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Finding the Fourth Proportional to 30,498.93, 42,088.61 and 17,759.66

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Solution

The fourth proportional to 30,498.93, 42,088.61 and 17,759.66 is: 24,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498.93 : 42,088.61 = 17,759.66 : x
  2. Step 2: Convert to fraction form
    30,498.93/42,088.61 = 17,759.66/x
  3. Step 3: Cross multiply
    30,498.93x = 42,088.61 × 17,759.66
  4. Step 4: Simplify right side
    30,498.93x = 747,479,237.43
  5. Step 5: Solve for x
    x = 747,479,237.43/30,498.93
  6. Step 6: Final answer
    x = 24,508.38

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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.