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Finding the Fourth Proportional to 65,167.80, 97,622.10 and 35,532.60

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Solution

The fourth proportional to 65,167.80, 97,622.10 and 35,532.60 is: 53,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,167.80 : 97,622.10 = 35,532.60 : x
  2. Step 2: Convert to fraction form
    65,167.80/97,622.10 = 35,532.60/x
  3. Step 3: Cross multiply
    65,167.80x = 97,622.10 × 35,532.60
  4. Step 4: Simplify right side
    65,167.80x = 3,468,767,030.46
  5. Step 5: Solve for x
    x = 3,468,767,030.46/65,167.80
  6. Step 6: Final answer
    x = 53,228.24

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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.