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Finding the Fourth Proportional to 53,952.57, 74,454.59 and 30,078.77

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Solution

The fourth proportional to 53,952.57, 74,454.59 and 30,078.77 is: 41,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,952.57 : 74,454.59 = 30,078.77 : x
  2. Step 2: Convert to fraction form
    53,952.57/74,454.59 = 30,078.77/x
  3. Step 3: Cross multiply
    53,952.57x = 74,454.59 × 30,078.77
  4. Step 4: Simplify right side
    53,952.57x = 2,239,502,190.98
  5. Step 5: Solve for x
    x = 2,239,502,190.98/53,952.57
  6. Step 6: Final answer
    x = 41,508.72

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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.