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Finding the Fourth Proportional to 27,994.74, 42,003 and 10,460.46

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Solution

The fourth proportional to 27,994.74, 42,003 and 10,460.46 is: 15,694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,994.74 : 42,003 = 10,460.46 : x
  2. Step 2: Convert to fraction form
    27,994.74/42,003 = 10,460.46/x
  3. Step 3: Cross multiply
    27,994.74x = 42,003 × 10,460.46
  4. Step 4: Simplify right side
    27,994.74x = 439,370,701.38
  5. Step 5: Solve for x
    x = 439,370,701.38/27,994.74
  6. Step 6: Final answer
    x = 15,694.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.