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Finding the Fourth Proportional to 36,384, 54,159.36 and 34,684.80

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Solution

The fourth proportional to 36,384, 54,159.36 and 34,684.80 is: 51,630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,384 : 54,159.36 = 34,684.80 : x
  2. Step 2: Convert to fraction form
    36,384/54,159.36 = 34,684.80/x
  3. Step 3: Cross multiply
    36,384x = 54,159.36 × 34,684.80
  4. Step 4: Simplify right side
    36,384x = 1,878,506,569.73
  5. Step 5: Solve for x
    x = 1,878,506,569.73/36,384
  6. Step 6: Final answer
    x = 51,630.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.