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Finding the Fourth Proportional to 65,052.34, 97,611.31 and 25,637.70

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Solution

The fourth proportional to 65,052.34, 97,611.31 and 25,637.70 is: 38,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,052.34 : 97,611.31 = 25,637.70 : x
  2. Step 2: Convert to fraction form
    65,052.34/97,611.31 = 25,637.70/x
  3. Step 3: Cross multiply
    65,052.34x = 97,611.31 × 25,637.70
  4. Step 4: Simplify right side
    65,052.34x = 2,502,529,482.39
  5. Step 5: Solve for x
    x = 2,502,529,482.39/65,052.34
  6. Step 6: Final answer
    x = 38,469.48

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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.