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Finding the Fourth Proportional to 53,809.92, 74,275.38 and 48,134.66

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Solution

The fourth proportional to 53,809.92, 74,275.38 and 48,134.66 is: 66,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,809.92 : 74,275.38 = 48,134.66 : x
  2. Step 2: Convert to fraction form
    53,809.92/74,275.38 = 48,134.66/x
  3. Step 3: Cross multiply
    53,809.92x = 74,275.38 × 48,134.66
  4. Step 4: Simplify right side
    53,809.92x = 3,575,219,791.29
  5. Step 5: Solve for x
    x = 3,575,219,791.29/53,809.92
  6. Step 6: Final answer
    x = 66,441.65

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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.