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Finding the Fourth Proportional to 70,701.52, 97,568.16 and 38,870.96

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Solution

The fourth proportional to 70,701.52, 97,568.16 and 38,870.96 is: 53,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,701.52 : 97,568.16 = 38,870.96 : x
  2. Step 2: Convert to fraction form
    70,701.52/97,568.16 = 38,870.96/x
  3. Step 3: Cross multiply
    70,701.52x = 97,568.16 × 38,870.96
  4. Step 4: Simplify right side
    70,701.52x = 3,792,568,044.63
  5. Step 5: Solve for x
    x = 3,792,568,044.63/70,701.52
  6. Step 6: Final answer
    x = 53,641.96

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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.