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Finding the Fourth Proportional to 48,907.66, 73,311.84 and 27,804.08

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Solution

The fourth proportional to 48,907.66, 73,311.84 and 27,804.08 is: 41,677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,907.66 : 73,311.84 = 27,804.08 : x
  2. Step 2: Convert to fraction form
    48,907.66/73,311.84 = 27,804.08/x
  3. Step 3: Cross multiply
    48,907.66x = 73,311.84 × 27,804.08
  4. Step 4: Simplify right side
    48,907.66x = 2,038,368,264.31
  5. Step 5: Solve for x
    x = 2,038,368,264.31/48,907.66
  6. Step 6: Final answer
    x = 41,677.90

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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.