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Finding the Fourth Proportional to 65,201.40, 97,802.10 and 23,633.40

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Solution

The fourth proportional to 65,201.40, 97,802.10 and 23,633.40 is: 35,450.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.40 : 97,802.10 = 23,633.40 : x
  2. Step 2: Convert to fraction form
    65,201.40/97,802.10 = 23,633.40/x
  3. Step 3: Cross multiply
    65,201.40x = 97,802.10 × 23,633.40
  4. Step 4: Simplify right side
    65,201.40x = 2,311,396,150.14
  5. Step 5: Solve for x
    x = 2,311,396,150.14/65,201.40
  6. Step 6: Final answer
    x = 35,450.10

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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.