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Finding the Fourth Proportional to 65,052.84, 97,612.06 and 25,638.20

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Solution

The fourth proportional to 65,052.84, 97,612.06 and 25,638.20 is: 38,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,052.84 : 97,612.06 = 25,638.20 : x
  2. Step 2: Convert to fraction form
    65,052.84/97,612.06 = 25,638.20/x
  3. Step 3: Cross multiply
    65,052.84x = 97,612.06 × 25,638.20
  4. Step 4: Simplify right side
    65,052.84x = 2,502,597,516.69
  5. Step 5: Solve for x
    x = 2,502,597,516.69/65,052.84
  6. Step 6: Final answer
    x = 38,470.23

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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.