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Finding the Fourth Proportional to 53,042.64, 73,205.92 and 34,234.48

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Solution

The fourth proportional to 53,042.64, 73,205.92 and 34,234.48 is: 47,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,042.64 : 73,205.92 = 34,234.48 : x
  2. Step 2: Convert to fraction form
    53,042.64/73,205.92 = 34,234.48/x
  3. Step 3: Cross multiply
    53,042.64x = 73,205.92 × 34,234.48
  4. Step 4: Simplify right side
    53,042.64x = 2,506,166,604.12
  5. Step 5: Solve for x
    x = 2,506,166,604.12/53,042.64
  6. Step 6: Final answer
    x = 47,248.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.