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Finding the Fourth Proportional to 48,533.80, 72,803.10 and 25,205.80

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Solution

The fourth proportional to 48,533.80, 72,803.10 and 25,205.80 is: 37,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,533.80 : 72,803.10 = 25,205.80 : x
  2. Step 2: Convert to fraction form
    48,533.80/72,803.10 = 25,205.80/x
  3. Step 3: Cross multiply
    48,533.80x = 72,803.10 × 25,205.80
  4. Step 4: Simplify right side
    48,533.80x = 1,835,060,377.98
  5. Step 5: Solve for x
    x = 1,835,060,377.98/48,533.80
  6. Step 6: Final answer
    x = 37,809.95

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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.