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Finding the Fourth Proportional to 49,379.83, 74,077.03 and 14,314.93

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Solution

The fourth proportional to 49,379.83, 74,077.03 and 14,314.93 is: 21,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,379.83 : 74,077.03 = 14,314.93 : x
  2. Step 2: Convert to fraction form
    49,379.83/74,077.03 = 14,314.93/x
  3. Step 3: Cross multiply
    49,379.83x = 74,077.03 × 14,314.93
  4. Step 4: Simplify right side
    49,379.83x = 1,060,407,331.76
  5. Step 5: Solve for x
    x = 1,060,407,331.76/49,379.83
  6. Step 6: Final answer
    x = 21,474.50

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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.