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Finding the Fourth Proportional to 65,302.53, 97,960.50 and 22,607.90

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Solution

The fourth proportional to 65,302.53, 97,960.50 and 22,607.90 is: 33,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,302.53 : 97,960.50 = 22,607.90 : x
  2. Step 2: Convert to fraction form
    65,302.53/97,960.50 = 22,607.90/x
  3. Step 3: Cross multiply
    65,302.53x = 97,960.50 × 22,607.90
  4. Step 4: Simplify right side
    65,302.53x = 2,214,680,698.15
  5. Step 5: Solve for x
    x = 2,214,680,698.15/65,302.53
  6. Step 6: Final answer
    x = 33,914.16

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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.