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Finding the Fourth Proportional to 31,283.68, 43,157.04 and 18,028

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Solution

The fourth proportional to 31,283.68, 43,157.04 and 18,028 is: 24,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283.68 : 43,157.04 = 18,028 : x
  2. Step 2: Convert to fraction form
    31,283.68/43,157.04 = 18,028/x
  3. Step 3: Cross multiply
    31,283.68x = 43,157.04 × 18,028
  4. Step 4: Simplify right side
    31,283.68x = 778,035,117.12
  5. Step 5: Solve for x
    x = 778,035,117.12/31,283.68
  6. Step 6: Final answer
    x = 24,870.32

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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.