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Finding the Fourth Proportional to 70,833.60, 97,761.06 and 53,809.92

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Solution

The fourth proportional to 70,833.60, 97,761.06 and 53,809.92 is: 74,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,833.60 : 97,761.06 = 53,809.92 : x
  2. Step 2: Convert to fraction form
    70,833.60/97,761.06 = 53,809.92/x
  3. Step 3: Cross multiply
    70,833.60x = 97,761.06 × 53,809.92
  4. Step 4: Simplify right side
    70,833.60x = 5,260,514,817.72
  5. Step 5: Solve for x
    x = 5,260,514,817.72/70,833.60
  6. Step 6: Final answer
    x = 74,265.81

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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.