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Finding the Fourth Proportional to 46,164.74, 63,707.38 and 24,944.04

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Solution

The fourth proportional to 46,164.74, 63,707.38 and 24,944.04 is: 34,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,164.74 : 63,707.38 = 24,944.04 : x
  2. Step 2: Convert to fraction form
    46,164.74/63,707.38 = 24,944.04/x
  3. Step 3: Cross multiply
    46,164.74x = 63,707.38 × 24,944.04
  4. Step 4: Simplify right side
    46,164.74x = 1,589,119,435.02
  5. Step 5: Solve for x
    x = 1,589,119,435.02/46,164.74
  6. Step 6: Final answer
    x = 34,422.80

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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.