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Finding the Fourth Proportional to 74,735.52, 103,076.70 and 47,880.53

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Solution

The fourth proportional to 74,735.52, 103,076.70 and 47,880.53 is: 66,037.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,735.52 : 103,076.70 = 47,880.53 : x
  2. Step 2: Convert to fraction form
    74,735.52/103,076.70 = 47,880.53/x
  3. Step 3: Cross multiply
    74,735.52x = 103,076.70 × 47,880.53
  4. Step 4: Simplify right side
    74,735.52x = 4,935,367,026.65
  5. Step 5: Solve for x
    x = 4,935,367,026.65/74,735.52
  6. Step 6: Final answer
    x = 66,037.77

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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.