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Finding the Fourth Proportional to 29,888.94, 41,232.88 and 19,282

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Solution

The fourth proportional to 29,888.94, 41,232.88 and 19,282 is: 26,600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,888.94 : 41,232.88 = 19,282 : x
  2. Step 2: Convert to fraction form
    29,888.94/41,232.88 = 19,282/x
  3. Step 3: Cross multiply
    29,888.94x = 41,232.88 × 19,282
  4. Step 4: Simplify right side
    29,888.94x = 795,052,392.16
  5. Step 5: Solve for x
    x = 795,052,392.16/29,888.94
  6. Step 6: Final answer
    x = 26,600.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.