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Finding the Fourth Proportional to 69,908.52, 96,474.60 and 38,077.68

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Solution

The fourth proportional to 69,908.52, 96,474.60 and 38,077.68 is: 52,547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,908.52 : 96,474.60 = 38,077.68 : x
  2. Step 2: Convert to fraction form
    69,908.52/96,474.60 = 38,077.68/x
  3. Step 3: Cross multiply
    69,908.52x = 96,474.60 × 38,077.68
  4. Step 4: Simplify right side
    69,908.52x = 3,673,528,946.93
  5. Step 5: Solve for x
    x = 3,673,528,946.93/69,908.52
  6. Step 6: Final answer
    x = 52,547.66

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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.