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Finding the Fourth Proportional to 56,439, 77,888.52 and 31,288.50

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Solution

The fourth proportional to 56,439, 77,888.52 and 31,288.50 is: 43,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,439 : 77,888.52 = 31,288.50 : x
  2. Step 2: Convert to fraction form
    56,439/77,888.52 = 31,288.50/x
  3. Step 3: Cross multiply
    56,439x = 77,888.52 × 31,288.50
  4. Step 4: Simplify right side
    56,439x = 2,437,014,958.02
  5. Step 5: Solve for x
    x = 2,437,014,958.02/56,439
  6. Step 6: Final answer
    x = 43,179.63

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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.