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Finding the Fourth Proportional to 65,293.70, 97,940.55 and 32,035.10

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Solution

The fourth proportional to 65,293.70, 97,940.55 and 32,035.10 is: 48,052.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,293.70 : 97,940.55 = 32,035.10 : x
  2. Step 2: Convert to fraction form
    65,293.70/97,940.55 = 32,035.10/x
  3. Step 3: Cross multiply
    65,293.70x = 97,940.55 × 32,035.10
  4. Step 4: Simplify right side
    65,293.70x = 3,137,535,313.31
  5. Step 5: Solve for x
    x = 3,137,535,313.31/65,293.70
  6. Step 6: Final answer
    x = 48,052.65

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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.