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Finding the Fourth Proportional to 30,618.06, 42,263.58 and 18,042

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Solution

The fourth proportional to 30,618.06, 42,263.58 and 18,042 is: 24,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,618.06 : 42,263.58 = 18,042 : x
  2. Step 2: Convert to fraction form
    30,618.06/42,263.58 = 18,042/x
  3. Step 3: Cross multiply
    30,618.06x = 42,263.58 × 18,042
  4. Step 4: Simplify right side
    30,618.06x = 762,519,510.36
  5. Step 5: Solve for x
    x = 762,519,510.36/30,618.06
  6. Step 6: Final answer
    x = 24,904.24

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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.