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Finding the Fourth Proportional to 65,117.40, 97,676.10 and 31,842.60

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Solution

The fourth proportional to 65,117.40, 97,676.10 and 31,842.60 is: 47,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,117.40 : 97,676.10 = 31,842.60 : x
  2. Step 2: Convert to fraction form
    65,117.40/97,676.10 = 31,842.60/x
  3. Step 3: Cross multiply
    65,117.40x = 97,676.10 × 31,842.60
  4. Step 4: Simplify right side
    65,117.40x = 3,110,260,981.86
  5. Step 5: Solve for x
    x = 3,110,260,981.86/65,117.40
  6. Step 6: Final answer
    x = 47,763.90

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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.