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Finding the Fourth Proportional to 56,902.06, 78,523.74 and 31,406.93

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Solution

The fourth proportional to 56,902.06, 78,523.74 and 31,406.93 is: 43,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,902.06 : 78,523.74 = 31,406.93 : x
  2. Step 2: Convert to fraction form
    56,902.06/78,523.74 = 31,406.93/x
  3. Step 3: Cross multiply
    56,902.06x = 78,523.74 × 31,406.93
  4. Step 4: Simplify right side
    56,902.06x = 2,466,189,605.52
  5. Step 5: Solve for x
    x = 2,466,189,605.52/56,902.06
  6. Step 6: Final answer
    x = 43,340.95

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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.