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Finding the Fourth Proportional to 56,122.61, 77,451 and 31,922.94

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Solution

The fourth proportional to 56,122.61, 77,451 and 31,922.94 is: 44,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,122.61 : 77,451 = 31,922.94 : x
  2. Step 2: Convert to fraction form
    56,122.61/77,451 = 31,922.94/x
  3. Step 3: Cross multiply
    56,122.61x = 77,451 × 31,922.94
  4. Step 4: Simplify right side
    56,122.61x = 2,472,463,625.94
  5. Step 5: Solve for x
    x = 2,472,463,625.94/56,122.61
  6. Step 6: Final answer
    x = 44,054.68

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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.