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Finding the Fourth Proportional to 39,078.48, 58,616.85 and 9,496.47

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Solution

The fourth proportional to 39,078.48, 58,616.85 and 9,496.47 is: 14,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,078.48 : 58,616.85 = 9,496.47 : x
  2. Step 2: Convert to fraction form
    39,078.48/58,616.85 = 9,496.47/x
  3. Step 3: Cross multiply
    39,078.48x = 58,616.85 × 9,496.47
  4. Step 4: Simplify right side
    39,078.48x = 556,653,157.52
  5. Step 5: Solve for x
    x = 556,653,157.52/39,078.48
  6. Step 6: Final answer
    x = 14,244.49

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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.