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Finding the Fourth Proportional to 56,824.50, 78,417.81 and 31,674

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Solution

The fourth proportional to 56,824.50, 78,417.81 and 31,674 is: 43,710.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,824.50 : 78,417.81 = 31,674 : x
  2. Step 2: Convert to fraction form
    56,824.50/78,417.81 = 31,674/x
  3. Step 3: Cross multiply
    56,824.50x = 78,417.81 × 31,674
  4. Step 4: Simplify right side
    56,824.50x = 2,483,805,713.94
  5. Step 5: Solve for x
    x = 2,483,805,713.94/56,824.50
  6. Step 6: Final answer
    x = 43,710.12

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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.