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Finding the Fourth Proportional to 65,009.40, 97,514.10 and 18,262.68

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Solution

The fourth proportional to 65,009.40, 97,514.10 and 18,262.68 is: 27,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009.40 : 97,514.10 = 18,262.68 : x
  2. Step 2: Convert to fraction form
    65,009.40/97,514.10 = 18,262.68/x
  3. Step 3: Cross multiply
    65,009.40x = 97,514.10 × 18,262.68
  4. Step 4: Simplify right side
    65,009.40x = 1,780,868,803.79
  5. Step 5: Solve for x
    x = 1,780,868,803.79/65,009.40
  6. Step 6: Final answer
    x = 27,394.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.