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Finding the Fourth Proportional to 30,807.42, 42,521.22 and 25,762.88

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Solution

The fourth proportional to 30,807.42, 42,521.22 and 25,762.88 is: 35,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.42 : 42,521.22 = 25,762.88 : x
  2. Step 2: Convert to fraction form
    30,807.42/42,521.22 = 25,762.88/x
  3. Step 3: Cross multiply
    30,807.42x = 42,521.22 × 25,762.88
  4. Step 4: Simplify right side
    30,807.42x = 1,095,469,088.31
  5. Step 5: Solve for x
    x = 1,095,469,088.31/30,807.42
  6. Step 6: Final answer
    x = 35,558.61

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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.