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Finding the Fourth Proportional to 28,323.57, 42,462.12 and 19,414.28

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Solution

The fourth proportional to 28,323.57, 42,462.12 and 19,414.28 is: 29,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,323.57 : 42,462.12 = 19,414.28 : x
  2. Step 2: Convert to fraction form
    28,323.57/42,462.12 = 19,414.28/x
  3. Step 3: Cross multiply
    28,323.57x = 42,462.12 × 19,414.28
  4. Step 4: Simplify right side
    28,323.57x = 824,371,666.03
  5. Step 5: Solve for x
    x = 824,371,666.03/28,323.57
  6. Step 6: Final answer
    x = 29,105.50

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Why These Related Problems?

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