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Finding the Fourth Proportional to 52,235.20, 78,237.60 and 31,422.40

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Solution

The fourth proportional to 52,235.20, 78,237.60 and 31,422.40 is: 47,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,235.20 : 78,237.60 = 31,422.40 : x
  2. Step 2: Convert to fraction form
    52,235.20/78,237.60 = 31,422.40/x
  3. Step 3: Cross multiply
    52,235.20x = 78,237.60 × 31,422.40
  4. Step 4: Simplify right side
    52,235.20x = 2,458,413,162.24
  5. Step 5: Solve for x
    x = 2,458,413,162.24/52,235.20
  6. Step 6: Final answer
    x = 47,064.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.