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Finding the Fourth Proportional to 28,231.40, 42,320.10 and 10,457.30

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Solution

The fourth proportional to 28,231.40, 42,320.10 and 10,457.30 is: 15,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,231.40 : 42,320.10 = 10,457.30 : x
  2. Step 2: Convert to fraction form
    28,231.40/42,320.10 = 10,457.30/x
  3. Step 3: Cross multiply
    28,231.40x = 42,320.10 × 10,457.30
  4. Step 4: Simplify right side
    28,231.40x = 442,553,981.73
  5. Step 5: Solve for x
    x = 442,553,981.73/28,231.40
  6. Step 6: Final answer
    x = 15,675.95

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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.