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Finding the Fourth Proportional to 31,406.51, 43,341.03 and 17,066.40

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Solution

The fourth proportional to 31,406.51, 43,341.03 and 17,066.40 is: 23,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.51 : 43,341.03 = 17,066.40 : x
  2. Step 2: Convert to fraction form
    31,406.51/43,341.03 = 17,066.40/x
  3. Step 3: Cross multiply
    31,406.51x = 43,341.03 × 17,066.40
  4. Step 4: Simplify right side
    31,406.51x = 739,675,354.39
  5. Step 5: Solve for x
    x = 739,675,354.39/31,406.51
  6. Step 6: Final answer
    x = 23,551.66

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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.