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Finding the Fourth Proportional to 65,214.40, 97,821.60 and 41,867.20

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Solution

The fourth proportional to 65,214.40, 97,821.60 and 41,867.20 is: 62,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,214.40 : 97,821.60 = 41,867.20 : x
  2. Step 2: Convert to fraction form
    65,214.40/97,821.60 = 41,867.20/x
  3. Step 3: Cross multiply
    65,214.40x = 97,821.60 × 41,867.20
  4. Step 4: Simplify right side
    65,214.40x = 4,095,516,491.52
  5. Step 5: Solve for x
    x = 4,095,516,491.52/65,214.40
  6. Step 6: Final answer
    x = 62,800.80

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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.