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Finding the Fourth Proportional to 28,023.40, 42,035.10 and 10,492.30

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Solution

The fourth proportional to 28,023.40, 42,035.10 and 10,492.30 is: 15,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,023.40 : 42,035.10 = 10,492.30 : x
  2. Step 2: Convert to fraction form
    28,023.40/42,035.10 = 10,492.30/x
  3. Step 3: Cross multiply
    28,023.40x = 42,035.10 × 10,492.30
  4. Step 4: Simplify right side
    28,023.40x = 441,044,879.73
  5. Step 5: Solve for x
    x = 441,044,879.73/28,023.40
  6. Step 6: Final answer
    x = 15,738.45

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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.