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Finding the Fourth Proportional to 72,537.84, 108,803.52 and 19,947.60

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Solution

The fourth proportional to 72,537.84, 108,803.52 and 19,947.60 is: 29,920.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,537.84 : 108,803.52 = 19,947.60 : x
  2. Step 2: Convert to fraction form
    72,537.84/108,803.52 = 19,947.60/x
  3. Step 3: Cross multiply
    72,537.84x = 108,803.52 × 19,947.60
  4. Step 4: Simplify right side
    72,537.84x = 2,170,369,095.55
  5. Step 5: Solve for x
    x = 2,170,369,095.55/72,537.84
  6. Step 6: Final answer
    x = 29,920.51

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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.