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Finding the Fourth Proportional to 65,052.82, 97,612.02 and 25,638.22

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Solution

The fourth proportional to 65,052.82, 97,612.02 and 25,638.22 is: 38,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,052.82 : 97,612.02 = 25,638.22 : x
  2. Step 2: Convert to fraction form
    65,052.82/97,612.02 = 25,638.22/x
  3. Step 3: Cross multiply
    65,052.82x = 97,612.02 × 25,638.22
  4. Step 4: Simplify right side
    65,052.82x = 2,502,598,443.40
  5. Step 5: Solve for x
    x = 2,502,598,443.40/65,052.82
  6. Step 6: Final answer
    x = 38,470.25

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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.