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Finding the Fourth Proportional to 75,862.71, 113,794.27 and 19,703.28

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Solution

The fourth proportional to 75,862.71, 113,794.27 and 19,703.28 is: 29,554.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,862.71 : 113,794.27 = 19,703.28 : x
  2. Step 2: Convert to fraction form
    75,862.71/113,794.27 = 19,703.28/x
  3. Step 3: Cross multiply
    75,862.71x = 113,794.27 × 19,703.28
  4. Step 4: Simplify right side
    75,862.71x = 2,242,120,741.68
  5. Step 5: Solve for x
    x = 2,242,120,741.68/75,862.71
  6. Step 6: Final answer
    x = 29,554.98

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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.