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Finding the Fourth Proportional to 64,253.52, 96,316.24 and 30,964.12

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Solution

The fourth proportional to 64,253.52, 96,316.24 and 30,964.12 is: 46,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,253.52 : 96,316.24 = 30,964.12 : x
  2. Step 2: Convert to fraction form
    64,253.52/96,316.24 = 30,964.12/x
  3. Step 3: Cross multiply
    64,253.52x = 96,316.24 × 30,964.12
  4. Step 4: Simplify right side
    64,253.52x = 2,982,347,613.31
  5. Step 5: Solve for x
    x = 2,982,347,613.31/64,253.52
  6. Step 6: Final answer
    x = 46,415.32

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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.