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Finding the Fourth Proportional to 35,828.64, 49,468.14 and 22,406.40

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Solution

The fourth proportional to 35,828.64, 49,468.14 and 22,406.40 is: 30,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,828.64 : 49,468.14 = 22,406.40 : x
  2. Step 2: Convert to fraction form
    35,828.64/49,468.14 = 22,406.40/x
  3. Step 3: Cross multiply
    35,828.64x = 49,468.14 × 22,406.40
  4. Step 4: Simplify right side
    35,828.64x = 1,108,402,932.10
  5. Step 5: Solve for x
    x = 1,108,402,932.10/35,828.64
  6. Step 6: Final answer
    x = 30,936.23

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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.