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Finding the Fourth Proportional to 56,381.04, 77,814 and 32,502.96

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Solution

The fourth proportional to 56,381.04, 77,814 and 32,502.96 is: 44,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,381.04 : 77,814 = 32,502.96 : x
  2. Step 2: Convert to fraction form
    56,381.04/77,814 = 32,502.96/x
  3. Step 3: Cross multiply
    56,381.04x = 77,814 × 32,502.96
  4. Step 4: Simplify right side
    56,381.04x = 2,529,185,329.44
  5. Step 5: Solve for x
    x = 2,529,185,329.44/56,381.04
  6. Step 6: Final answer
    x = 44,858.79

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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.