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Finding the Fourth Proportional to 39,798.88, 59,711.28 and 19,024

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Solution

The fourth proportional to 39,798.88, 59,711.28 and 19,024 is: 28,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,798.88 : 59,711.28 = 19,024 : x
  2. Step 2: Convert to fraction form
    39,798.88/59,711.28 = 19,024/x
  3. Step 3: Cross multiply
    39,798.88x = 59,711.28 × 19,024
  4. Step 4: Simplify right side
    39,798.88x = 1,135,947,390.72
  5. Step 5: Solve for x
    x = 1,135,947,390.72/39,798.88
  6. Step 6: Final answer
    x = 28,542.19

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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.