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Finding the Fourth Proportional to 31,564.59, 43,559.08 and 17,417.42

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Solution

The fourth proportional to 31,564.59, 43,559.08 and 17,417.42 is: 24,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.59 : 43,559.08 = 17,417.42 : x
  2. Step 2: Convert to fraction form
    31,564.59/43,559.08 = 17,417.42/x
  3. Step 3: Cross multiply
    31,564.59x = 43,559.08 × 17,417.42
  4. Step 4: Simplify right side
    31,564.59x = 758,686,791.17
  5. Step 5: Solve for x
    x = 758,686,791.17/31,564.59
  6. Step 6: Final answer
    x = 24,036.01

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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.