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Finding the Fourth Proportional to 64,465.94, 96,632.39 and 27,047.74

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Solution

The fourth proportional to 64,465.94, 96,632.39 and 27,047.74 is: 40,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,465.94 : 96,632.39 = 27,047.74 : x
  2. Step 2: Convert to fraction form
    64,465.94/96,632.39 = 27,047.74/x
  3. Step 3: Cross multiply
    64,465.94x = 96,632.39 × 27,047.74
  4. Step 4: Simplify right side
    64,465.94x = 2,613,687,760.30
  5. Step 5: Solve for x
    x = 2,613,687,760.30/64,465.94
  6. Step 6: Final answer
    x = 40,543.70

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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.