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Finding the Fourth Proportional to 87,768, 121,119.92 and 48,024

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Solution

The fourth proportional to 87,768, 121,119.92 and 48,024 is: 66,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,768 : 121,119.92 = 48,024 : x
  2. Step 2: Convert to fraction form
    87,768/121,119.92 = 48,024/x
  3. Step 3: Cross multiply
    87,768x = 121,119.92 × 48,024
  4. Step 4: Simplify right side
    87,768x = 5,816,663,038.08
  5. Step 5: Solve for x
    x = 5,816,663,038.08/87,768
  6. Step 6: Final answer
    x = 66,273.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.