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Finding the Fourth Proportional to 49,025.16, 67,723.02 and 47,204.46

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Solution

The fourth proportional to 49,025.16, 67,723.02 and 47,204.46 is: 65,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,025.16 : 67,723.02 = 47,204.46 : x
  2. Step 2: Convert to fraction form
    49,025.16/67,723.02 = 47,204.46/x
  3. Step 3: Cross multiply
    49,025.16x = 67,723.02 × 47,204.46
  4. Step 4: Simplify right side
    49,025.16x = 3,196,828,588.67
  5. Step 5: Solve for x
    x = 3,196,828,588.67/49,025.16
  6. Step 6: Final answer
    x = 65,207.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.