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Finding the Fourth Proportional to 56,471.62, 84,715.24 and 19,042.40

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Solution

The fourth proportional to 56,471.62, 84,715.24 and 19,042.40 is: 28,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,471.62 : 84,715.24 = 19,042.40 : x
  2. Step 2: Convert to fraction form
    56,471.62/84,715.24 = 19,042.40/x
  3. Step 3: Cross multiply
    56,471.62x = 84,715.24 × 19,042.40
  4. Step 4: Simplify right side
    56,471.62x = 1,613,181,486.18
  5. Step 5: Solve for x
    x = 1,613,181,486.18/56,471.62
  6. Step 6: Final answer
    x = 28,566.23

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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.