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Finding the Fourth Proportional to 65,218.40, 97,827.60 and 41,890.40

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Solution

The fourth proportional to 65,218.40, 97,827.60 and 41,890.40 is: 62,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,218.40 : 97,827.60 = 41,890.40 : x
  2. Step 2: Convert to fraction form
    65,218.40/97,827.60 = 41,890.40/x
  3. Step 3: Cross multiply
    65,218.40x = 97,827.60 × 41,890.40
  4. Step 4: Simplify right side
    65,218.40x = 4,098,037,295.04
  5. Step 5: Solve for x
    x = 4,098,037,295.04/65,218.40
  6. Step 6: Final answer
    x = 62,835.60

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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.