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Finding the Fourth Proportional to 64,211.40, 96,317.10 and 19,834.20

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Solution

The fourth proportional to 64,211.40, 96,317.10 and 19,834.20 is: 29,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,211.40 : 96,317.10 = 19,834.20 : x
  2. Step 2: Convert to fraction form
    64,211.40/96,317.10 = 19,834.20/x
  3. Step 3: Cross multiply
    64,211.40x = 96,317.10 × 19,834.20
  4. Step 4: Simplify right side
    64,211.40x = 1,910,372,624.82
  5. Step 5: Solve for x
    x = 1,910,372,624.82/64,211.40
  6. Step 6: Final answer
    x = 29,751.30

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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.