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Finding the Fourth Proportional to 30,870.84, 42,557.16 and 20,242.04

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Solution

The fourth proportional to 30,870.84, 42,557.16 and 20,242.04 is: 27,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.84 : 42,557.16 = 20,242.04 : x
  2. Step 2: Convert to fraction form
    30,870.84/42,557.16 = 20,242.04/x
  3. Step 3: Cross multiply
    30,870.84x = 42,557.16 × 20,242.04
  4. Step 4: Simplify right side
    30,870.84x = 861,443,735.01
  5. Step 5: Solve for x
    x = 861,443,735.01/30,870.84
  6. Step 6: Final answer
    x = 27,904.77

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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.