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Finding the Fourth Proportional to 36,023.84, 54,030.72 and 9,730.88

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Solution

The fourth proportional to 36,023.84, 54,030.72 and 9,730.88 is: 14,594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,023.84 : 54,030.72 = 9,730.88 : x
  2. Step 2: Convert to fraction form
    36,023.84/54,030.72 = 9,730.88/x
  3. Step 3: Cross multiply
    36,023.84x = 54,030.72 × 9,730.88
  4. Step 4: Simplify right side
    36,023.84x = 525,766,452.63
  5. Step 5: Solve for x
    x = 525,766,452.63/36,023.84
  6. Step 6: Final answer
    x = 14,594.96

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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.