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Finding the Fourth Proportional to 48,471.64, 67,160.76 and 47,421.88

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Solution

The fourth proportional to 48,471.64, 67,160.76 and 47,421.88 is: 65,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,471.64 : 67,160.76 = 47,421.88 : x
  2. Step 2: Convert to fraction form
    48,471.64/67,160.76 = 47,421.88/x
  3. Step 3: Cross multiply
    48,471.64x = 67,160.76 × 47,421.88
  4. Step 4: Simplify right side
    48,471.64x = 3,184,889,501.43
  5. Step 5: Solve for x
    x = 3,184,889,501.43/48,471.64
  6. Step 6: Final answer
    x = 65,706.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.