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Finding the Fourth Proportional to 65,207.63, 97,808.24 and 38,205.29

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Solution

The fourth proportional to 65,207.63, 97,808.24 and 38,205.29 is: 57,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,207.63 : 97,808.24 = 38,205.29 : x
  2. Step 2: Convert to fraction form
    65,207.63/97,808.24 = 38,205.29/x
  3. Step 3: Cross multiply
    65,207.63x = 97,808.24 × 38,205.29
  4. Step 4: Simplify right side
    65,207.63x = 3,736,791,780.06
  5. Step 5: Solve for x
    x = 3,736,791,780.06/65,207.63
  6. Step 6: Final answer
    x = 57,306.05

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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.