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Finding the Fourth Proportional to 31,746, 43,809.24 and 18,316.08

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Solution

The fourth proportional to 31,746, 43,809.24 and 18,316.08 is: 25,276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,746 : 43,809.24 = 18,316.08 : x
  2. Step 2: Convert to fraction form
    31,746/43,809.24 = 18,316.08/x
  3. Step 3: Cross multiply
    31,746x = 43,809.24 × 18,316.08
  4. Step 4: Simplify right side
    31,746x = 802,413,544.58
  5. Step 5: Solve for x
    x = 802,413,544.58/31,746
  6. Step 6: Final answer
    x = 25,276.05

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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.