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Finding the Fourth Proportional to 47,379.19, 65,382.88 and 26,158

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Solution

The fourth proportional to 47,379.19, 65,382.88 and 26,158 is: 36,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,379.19 : 65,382.88 = 26,158 : x
  2. Step 2: Convert to fraction form
    47,379.19/65,382.88 = 26,158/x
  3. Step 3: Cross multiply
    47,379.19x = 65,382.88 × 26,158
  4. Step 4: Simplify right side
    47,379.19x = 1,710,285,375.04
  5. Step 5: Solve for x
    x = 1,710,285,375.04/47,379.19
  6. Step 6: Final answer
    x = 36,097.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.