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Finding the Fourth Proportional to 74,520.53, 102,768.03 and 48,981.77

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Solution

The fourth proportional to 74,520.53, 102,768.03 and 48,981.77 is: 67,548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,520.53 : 102,768.03 = 48,981.77 : x
  2. Step 2: Convert to fraction form
    74,520.53/102,768.03 = 48,981.77/x
  3. Step 3: Cross multiply
    74,520.53x = 102,768.03 × 48,981.77
  4. Step 4: Simplify right side
    74,520.53x = 5,033,760,008.81
  5. Step 5: Solve for x
    x = 5,033,760,008.81/74,520.53
  6. Step 6: Final answer
    x = 67,548.63

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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.