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Finding the Fourth Proportional to 65,308.74, 90,127.03 and 38,084.07

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Solution

The fourth proportional to 65,308.74, 90,127.03 and 38,084.07 is: 52,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,308.74 : 90,127.03 = 38,084.07 : x
  2. Step 2: Convert to fraction form
    65,308.74/90,127.03 = 38,084.07/x
  3. Step 3: Cross multiply
    65,308.74x = 90,127.03 × 38,084.07
  4. Step 4: Simplify right side
    65,308.74x = 3,432,404,214.03
  5. Step 5: Solve for x
    x = 3,432,404,214.03/65,308.74
  6. Step 6: Final answer
    x = 52,556.58

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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.