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Finding the Fourth Proportional to 40,322.40, 55,643.76 and 22,416.48

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Solution

The fourth proportional to 40,322.40, 55,643.76 and 22,416.48 is: 30,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,322.40 : 55,643.76 = 22,416.48 : x
  2. Step 2: Convert to fraction form
    40,322.40/55,643.76 = 22,416.48/x
  3. Step 3: Cross multiply
    40,322.40x = 55,643.76 × 22,416.48
  4. Step 4: Simplify right side
    40,322.40x = 1,247,337,233.16
  5. Step 5: Solve for x
    x = 1,247,337,233.16/40,322.40
  6. Step 6: Final answer
    x = 30,934.10

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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.