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Finding the Fourth Proportional to 29,322.27, 40,478.67 and 19,648.40

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Solution

The fourth proportional to 29,322.27, 40,478.67 and 19,648.40 is: 27,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,322.27 : 40,478.67 = 19,648.40 : x
  2. Step 2: Convert to fraction form
    29,322.27/40,478.67 = 19,648.40/x
  3. Step 3: Cross multiply
    29,322.27x = 40,478.67 × 19,648.40
  4. Step 4: Simplify right side
    29,322.27x = 795,340,897.23
  5. Step 5: Solve for x
    x = 795,340,897.23/29,322.27
  6. Step 6: Final answer
    x = 27,124.12

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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.