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Finding the Fourth Proportional to 19,444.13, 29,142.50 and 10,078.99

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Solution

The fourth proportional to 19,444.13, 29,142.50 and 10,078.99 is: 15,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,444.13 : 29,142.50 = 10,078.99 : x
  2. Step 2: Convert to fraction form
    19,444.13/29,142.50 = 10,078.99/x
  3. Step 3: Cross multiply
    19,444.13x = 29,142.50 × 10,078.99
  4. Step 4: Simplify right side
    19,444.13x = 293,726,842.82
  5. Step 5: Solve for x
    x = 293,726,842.82/19,444.13
  6. Step 6: Final answer
    x = 15,106.20

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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.