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Finding the Fourth Proportional to 30,055.12, 41,478.66 and 17,479

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Solution

The fourth proportional to 30,055.12, 41,478.66 and 17,479 is: 24,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,055.12 : 41,478.66 = 17,479 : x
  2. Step 2: Convert to fraction form
    30,055.12/41,478.66 = 17,479/x
  3. Step 3: Cross multiply
    30,055.12x = 41,478.66 × 17,479
  4. Step 4: Simplify right side
    30,055.12x = 725,005,498.14
  5. Step 5: Solve for x
    x = 725,005,498.14/30,055.12
  6. Step 6: Final answer
    x = 24,122.53

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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.