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Finding the Fourth Proportional to 48,137.74, 72,201.84 and 14,848.78

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Solution

The fourth proportional to 48,137.74, 72,201.84 and 14,848.78 is: 22,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,137.74 : 72,201.84 = 14,848.78 : x
  2. Step 2: Convert to fraction form
    48,137.74/72,201.84 = 14,848.78/x
  3. Step 3: Cross multiply
    48,137.74x = 72,201.84 × 14,848.78
  4. Step 4: Simplify right side
    48,137.74x = 1,072,109,237.76
  5. Step 5: Solve for x
    x = 1,072,109,237.76/48,137.74
  6. Step 6: Final answer
    x = 22,271.70

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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.