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Finding the Fourth Proportional to 30,638.72, 42,280.34 and 18,722.00

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Solution

The fourth proportional to 30,638.72, 42,280.34 and 18,722.00 is: 25,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.72 : 42,280.34 = 18,722.00 : x
  2. Step 2: Convert to fraction form
    30,638.72/42,280.34 = 18,722.00/x
  3. Step 3: Cross multiply
    30,638.72x = 42,280.34 × 18,722.00
  4. Step 4: Simplify right side
    30,638.72x = 791,572,220.47
  5. Step 5: Solve for x
    x = 791,572,220.47/30,638.72
  6. Step 6: Final answer
    x = 25,835.69

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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.