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Finding the Fourth Proportional to 65,071.20, 97,606.80 and 15,823.20

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Solution

The fourth proportional to 65,071.20, 97,606.80 and 15,823.20 is: 23,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,071.20 : 97,606.80 = 15,823.20 : x
  2. Step 2: Convert to fraction form
    65,071.20/97,606.80 = 15,823.20/x
  3. Step 3: Cross multiply
    65,071.20x = 97,606.80 × 15,823.20
  4. Step 4: Simplify right side
    65,071.20x = 1,544,451,917.76
  5. Step 5: Solve for x
    x = 1,544,451,917.76/65,071.20
  6. Step 6: Final answer
    x = 23,734.80

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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.