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Finding the Fourth Proportional to 50,456.46, 75,088.97 and 48,774.90

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Solution

The fourth proportional to 50,456.46, 75,088.97 and 48,774.90 is: 72,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,456.46 : 75,088.97 = 48,774.90 : x
  2. Step 2: Convert to fraction form
    50,456.46/75,088.97 = 48,774.90/x
  3. Step 3: Cross multiply
    50,456.46x = 75,088.97 × 48,774.90
  4. Step 4: Simplify right side
    50,456.46x = 3,662,457,002.85
  5. Step 5: Solve for x
    x = 3,662,457,002.85/50,456.46
  6. Step 6: Final answer
    x = 72,586.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.