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Finding the Fourth Proportional to 31,417.53, 43,356.50 and 17,077.42

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Solution

The fourth proportional to 31,417.53, 43,356.50 and 17,077.42 is: 23,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.53 : 43,356.50 = 17,077.42 : x
  2. Step 2: Convert to fraction form
    31,417.53/43,356.50 = 17,077.42/x
  3. Step 3: Cross multiply
    31,417.53x = 43,356.50 × 17,077.42
  4. Step 4: Simplify right side
    31,417.53x = 740,417,160.23
  5. Step 5: Solve for x
    x = 740,417,160.23/31,417.53
  6. Step 6: Final answer
    x = 23,567.01

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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.