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Finding the Fourth Proportional to 65,052.48, 97,584.48 and 18,305.76

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Solution

The fourth proportional to 65,052.48, 97,584.48 and 18,305.76 is: 27,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,052.48 : 97,584.48 = 18,305.76 : x
  2. Step 2: Convert to fraction form
    65,052.48/97,584.48 = 18,305.76/x
  3. Step 3: Cross multiply
    65,052.48x = 97,584.48 × 18,305.76
  4. Step 4: Simplify right side
    65,052.48x = 1,786,358,070.60
  5. Step 5: Solve for x
    x = 1,786,358,070.60/65,052.48
  6. Step 6: Final answer
    x = 27,460.26

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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.