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Finding the Fourth Proportional to 65,225.63, 97,729.09 and 38,937.89

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Solution

The fourth proportional to 65,225.63, 97,729.09 and 38,937.89 is: 58,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,225.63 : 97,729.09 = 38,937.89 : x
  2. Step 2: Convert to fraction form
    65,225.63/97,729.09 = 38,937.89/x
  3. Step 3: Cross multiply
    65,225.63x = 97,729.09 × 38,937.89
  4. Step 4: Simplify right side
    65,225.63x = 3,805,364,556.22
  5. Step 5: Solve for x
    x = 3,805,364,556.22/65,225.63
  6. Step 6: Final answer
    x = 58,341.55

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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.