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Finding the Fourth Proportional to 73,078.48, 109,616.76 and 17,674

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Solution

The fourth proportional to 73,078.48, 109,616.76 and 17,674 is: 26,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,078.48 : 109,616.76 = 17,674 : x
  2. Step 2: Convert to fraction form
    73,078.48/109,616.76 = 17,674/x
  3. Step 3: Cross multiply
    73,078.48x = 109,616.76 × 17,674
  4. Step 4: Simplify right side
    73,078.48x = 1,937,366,616.24
  5. Step 5: Solve for x
    x = 1,937,366,616.24/73,078.48
  6. Step 6: Final answer
    x = 26,510.77

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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.