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Finding the Fourth Proportional to 30,071.87, 41,498.88 and 16,643.15

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Solution

The fourth proportional to 30,071.87, 41,498.88 and 16,643.15 is: 22,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,071.87 : 41,498.88 = 16,643.15 : x
  2. Step 2: Convert to fraction form
    30,071.87/41,498.88 = 16,643.15/x
  3. Step 3: Cross multiply
    30,071.87x = 41,498.88 × 16,643.15
  4. Step 4: Simplify right side
    30,071.87x = 690,672,001.46
  5. Step 5: Solve for x
    x = 690,672,001.46/30,071.87
  6. Step 6: Final answer
    x = 22,967.38

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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.