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Finding the Fourth Proportional to 50,331.32, 69,457.02 and 27,671.74

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Solution

The fourth proportional to 50,331.32, 69,457.02 and 27,671.74 is: 38,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,331.32 : 69,457.02 = 27,671.74 : x
  2. Step 2: Convert to fraction form
    50,331.32/69,457.02 = 27,671.74/x
  3. Step 3: Cross multiply
    50,331.32x = 69,457.02 × 27,671.74
  4. Step 4: Simplify right side
    50,331.32x = 1,921,996,598.61
  5. Step 5: Solve for x
    x = 1,921,996,598.61/50,331.32
  6. Step 6: Final answer
    x = 38,186.89

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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.