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Finding the Fourth Proportional to 30,071.85, 41,498.10 and 16,643.13

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Solution

The fourth proportional to 30,071.85, 41,498.10 and 16,643.13 is: 22,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,071.85 : 41,498.10 = 16,643.13 : x
  2. Step 2: Convert to fraction form
    30,071.85/41,498.10 = 16,643.13/x
  3. Step 3: Cross multiply
    30,071.85x = 41,498.10 × 16,643.13
  4. Step 4: Simplify right side
    30,071.85x = 690,658,273.05
  5. Step 5: Solve for x
    x = 690,658,273.05/30,071.85
  6. Step 6: Final answer
    x = 22,966.94

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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.