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Finding the Fourth Proportional to 48,838.10, 73,257.30 and 13,777.74

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Solution

The fourth proportional to 48,838.10, 73,257.30 and 13,777.74 is: 20,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,838.10 : 73,257.30 = 13,777.74 : x
  2. Step 2: Convert to fraction form
    48,838.10/73,257.30 = 13,777.74/x
  3. Step 3: Cross multiply
    48,838.10x = 73,257.30 × 13,777.74
  4. Step 4: Simplify right side
    48,838.10x = 1,009,320,032.50
  5. Step 5: Solve for x
    x = 1,009,320,032.50/48,838.10
  6. Step 6: Final answer
    x = 20,666.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.