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Finding the Fourth Proportional to 31,411.60, 43,347.72 and 17,071.28

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Solution

The fourth proportional to 31,411.60, 43,347.72 and 17,071.28 is: 23,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.60 : 43,347.72 = 17,071.28 : x
  2. Step 2: Convert to fraction form
    31,411.60/43,347.72 = 17,071.28/x
  3. Step 3: Cross multiply
    31,411.60x = 43,347.72 × 17,071.28
  4. Step 4: Simplify right side
    31,411.60x = 740,001,065.48
  5. Step 5: Solve for x
    x = 740,001,065.48/31,411.60
  6. Step 6: Final answer
    x = 23,558.21

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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.