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Finding the Fourth Proportional to 30,870.56, 42,594 and 18,293.12

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Solution

The fourth proportional to 30,870.56, 42,594 and 18,293.12 is: 25,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.56 : 42,594 = 18,293.12 : x
  2. Step 2: Convert to fraction form
    30,870.56/42,594 = 18,293.12/x
  3. Step 3: Cross multiply
    30,870.56x = 42,594 × 18,293.12
  4. Step 4: Simplify right side
    30,870.56x = 779,177,153.28
  5. Step 5: Solve for x
    x = 779,177,153.28/30,870.56
  6. Step 6: Final answer
    x = 25,240.14

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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.