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Finding the Fourth Proportional to 54,269.66, 74,894.44 and 31,605

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Solution

The fourth proportional to 54,269.66, 74,894.44 and 31,605 is: 43,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,269.66 : 74,894.44 = 31,605 : x
  2. Step 2: Convert to fraction form
    54,269.66/74,894.44 = 31,605/x
  3. Step 3: Cross multiply
    54,269.66x = 74,894.44 × 31,605
  4. Step 4: Simplify right side
    54,269.66x = 2,367,038,776.20
  5. Step 5: Solve for x
    x = 2,367,038,776.20/54,269.66
  6. Step 6: Final answer
    x = 43,616.24

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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.