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Finding the Fourth Proportional to 74,388.48, 102,704.40 and 47,541.84

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Solution

The fourth proportional to 74,388.48, 102,704.40 and 47,541.84 is: 65,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,388.48 : 102,704.40 = 47,541.84 : x
  2. Step 2: Convert to fraction form
    74,388.48/102,704.40 = 47,541.84/x
  3. Step 3: Cross multiply
    74,388.48x = 102,704.40 × 47,541.84
  4. Step 4: Simplify right side
    74,388.48x = 4,882,756,152.10
  5. Step 5: Solve for x
    x = 4,882,756,152.10/74,388.48
  6. Step 6: Final answer
    x = 65,638.61

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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.