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Finding the Fourth Proportional to 31,852.59, 43,955.51 and 17,705.13

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Solution

The fourth proportional to 31,852.59, 43,955.51 and 17,705.13 is: 24,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.59 : 43,955.51 = 17,705.13 : x
  2. Step 2: Convert to fraction form
    31,852.59/43,955.51 = 17,705.13/x
  3. Step 3: Cross multiply
    31,852.59x = 43,955.51 × 17,705.13
  4. Step 4: Simplify right side
    31,852.59x = 778,237,930.24
  5. Step 5: Solve for x
    x = 778,237,930.24/31,852.59
  6. Step 6: Final answer
    x = 24,432.49

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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.