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Finding the Fourth Proportional to 65,105.40, 97,658.10 and 35,580.90

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Solution

The fourth proportional to 65,105.40, 97,658.10 and 35,580.90 is: 53,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,105.40 : 97,658.10 = 35,580.90 : x
  2. Step 2: Convert to fraction form
    65,105.40/97,658.10 = 35,580.90/x
  3. Step 3: Cross multiply
    65,105.40x = 97,658.10 × 35,580.90
  4. Step 4: Simplify right side
    65,105.40x = 3,474,763,090.29
  5. Step 5: Solve for x
    x = 3,474,763,090.29/65,105.40
  6. Step 6: Final answer
    x = 53,371.35

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1.5x scale

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.