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Finding the Fourth Proportional to 30,498.16, 42,083.62 and 17,755.46

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Solution

The fourth proportional to 30,498.16, 42,083.62 and 17,755.46 is: 24,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498.16 : 42,083.62 = 17,755.46 : x
  2. Step 2: Convert to fraction form
    30,498.16/42,083.62 = 17,755.46/x
  3. Step 3: Cross multiply
    30,498.16x = 42,083.62 × 17,755.46
  4. Step 4: Simplify right side
    30,498.16x = 747,214,031.57
  5. Step 5: Solve for x
    x = 747,214,031.57/30,498.16
  6. Step 6: Final answer
    x = 24,500.30

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