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Finding the Fourth Proportional to 34,200.32, 51,013.12 and 31,050.56

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Solution

The fourth proportional to 34,200.32, 51,013.12 and 31,050.56 is: 46,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,200.32 : 51,013.12 = 31,050.56 : x
  2. Step 2: Convert to fraction form
    34,200.32/51,013.12 = 31,050.56/x
  3. Step 3: Cross multiply
    34,200.32x = 51,013.12 × 31,050.56
  4. Step 4: Simplify right side
    34,200.32x = 1,583,985,943.35
  5. Step 5: Solve for x
    x = 1,583,985,943.35/34,200.32
  6. Step 6: Final answer
    x = 46,314.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.