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Finding the Fourth Proportional to 69,783.82, 96,298.92 and 37,952.68

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Solution

The fourth proportional to 69,783.82, 96,298.92 and 37,952.68 is: 52,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,783.82 : 96,298.92 = 37,952.68 : x
  2. Step 2: Convert to fraction form
    69,783.82/96,298.92 = 37,952.68/x
  3. Step 3: Cross multiply
    69,783.82x = 96,298.92 × 37,952.68
  4. Step 4: Simplify right side
    69,783.82x = 3,654,802,095.11
  5. Step 5: Solve for x
    x = 3,654,802,095.11/69,783.82
  6. Step 6: Final answer
    x = 52,373.20

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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.