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Finding the Fourth Proportional to 39,078.32, 58,611.40 and 12,783

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Solution

The fourth proportional to 39,078.32, 58,611.40 and 12,783 is: 19,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,078.32 : 58,611.40 = 12,783 : x
  2. Step 2: Convert to fraction form
    39,078.32/58,611.40 = 12,783/x
  3. Step 3: Cross multiply
    39,078.32x = 58,611.40 × 12,783
  4. Step 4: Simplify right side
    39,078.32x = 749,229,526.20
  5. Step 5: Solve for x
    x = 749,229,526.20/39,078.32
  6. Step 6: Final answer
    x = 19,172.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.