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Finding the Fourth Proportional to 65,171.03, 97,723.74 and 31,841.15

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Solution

The fourth proportional to 65,171.03, 97,723.74 and 31,841.15 is: 47,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,171.03 : 97,723.74 = 31,841.15 : x
  2. Step 2: Convert to fraction form
    65,171.03/97,723.74 = 31,841.15/x
  3. Step 3: Cross multiply
    65,171.03x = 97,723.74 × 31,841.15
  4. Step 4: Simplify right side
    65,171.03x = 3,111,636,263.90
  5. Step 5: Solve for x
    x = 3,111,636,263.90/65,171.03
  6. Step 6: Final answer
    x = 47,745.70

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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.