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Finding the Fourth Proportional to 53,804.52, 74,258.13 and 32,295.78

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Solution

The fourth proportional to 53,804.52, 74,258.13 and 32,295.78 is: 44,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,804.52 : 74,258.13 = 32,295.78 : x
  2. Step 2: Convert to fraction form
    53,804.52/74,258.13 = 32,295.78/x
  3. Step 3: Cross multiply
    53,804.52x = 74,258.13 × 32,295.78
  4. Step 4: Simplify right side
    53,804.52x = 2,398,224,229.69
  5. Step 5: Solve for x
    x = 2,398,224,229.69/53,804.52
  6. Step 6: Final answer
    x = 44,572.91

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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.