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Finding the Fourth Proportional to 56,213.12, 77,571.06 and 31,061

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Solution

The fourth proportional to 56,213.12, 77,571.06 and 31,061 is: 42,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,213.12 : 77,571.06 = 31,061 : x
  2. Step 2: Convert to fraction form
    56,213.12/77,571.06 = 31,061/x
  3. Step 3: Cross multiply
    56,213.12x = 77,571.06 × 31,061
  4. Step 4: Simplify right side
    56,213.12x = 2,409,434,694.66
  5. Step 5: Solve for x
    x = 2,409,434,694.66/56,213.12
  6. Step 6: Final answer
    x = 42,862.50

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