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Finding the Fourth Proportional to 34,235.40, 47,257.86 and 25,762.16

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Solution

The fourth proportional to 34,235.40, 47,257.86 and 25,762.16 is: 35,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,235.40 : 47,257.86 = 25,762.16 : x
  2. Step 2: Convert to fraction form
    34,235.40/47,257.86 = 25,762.16/x
  3. Step 3: Cross multiply
    34,235.40x = 47,257.86 × 25,762.16
  4. Step 4: Simplify right side
    34,235.40x = 1,217,464,550.58
  5. Step 5: Solve for x
    x = 1,217,464,550.58/34,235.40
  6. Step 6: Final answer
    x = 35,561.57

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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.