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Finding the Fourth Proportional to 50,491.76, 75,737.40 and 13,048.64

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Solution

The fourth proportional to 50,491.76, 75,737.40 and 13,048.64 is: 19,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,491.76 : 75,737.40 = 13,048.64 : x
  2. Step 2: Convert to fraction form
    50,491.76/75,737.40 = 13,048.64/x
  3. Step 3: Cross multiply
    50,491.76x = 75,737.40 × 13,048.64
  4. Step 4: Simplify right side
    50,491.76x = 988,270,349.55
  5. Step 5: Solve for x
    x = 988,270,349.55/50,491.76
  6. Step 6: Final answer
    x = 19,572.91

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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.