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Finding the Fourth Proportional to 65,206.40, 97,812.80 and 34,102.40

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Solution

The fourth proportional to 65,206.40, 97,812.80 and 34,102.40 is: 51,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,206.40 : 97,812.80 = 34,102.40 : x
  2. Step 2: Convert to fraction form
    65,206.40/97,812.80 = 34,102.40/x
  3. Step 3: Cross multiply
    65,206.40x = 97,812.80 × 34,102.40
  4. Step 4: Simplify right side
    65,206.40x = 3,335,651,230.72
  5. Step 5: Solve for x
    x = 3,335,651,230.72/65,206.40
  6. Step 6: Final answer
    x = 51,155.27

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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.