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Finding the Fourth Proportional to 69,784.48, 96,298.62 and 37,953.38

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Solution

The fourth proportional to 69,784.48, 96,298.62 and 37,953.38 is: 52,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,784.48 : 96,298.62 = 37,953.38 : x
  2. Step 2: Convert to fraction form
    69,784.48/96,298.62 = 37,953.38/x
  3. Step 3: Cross multiply
    69,784.48x = 96,298.62 × 37,953.38
  4. Step 4: Simplify right side
    69,784.48x = 3,654,858,118.34
  5. Step 5: Solve for x
    x = 3,654,858,118.34/69,784.48
  6. Step 6: Final answer
    x = 52,373.51

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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.