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Finding the Fourth Proportional to 56,814.38, 78,398.54 and 31,316.30

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Solution

The fourth proportional to 56,814.38, 78,398.54 and 31,316.30 is: 43,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,814.38 : 78,398.54 = 31,316.30 : x
  2. Step 2: Convert to fraction form
    56,814.38/78,398.54 = 31,316.30/x
  3. Step 3: Cross multiply
    56,814.38x = 78,398.54 × 31,316.30
  4. Step 4: Simplify right side
    56,814.38x = 2,455,152,198.20
  5. Step 5: Solve for x
    x = 2,455,152,198.20/56,814.38
  6. Step 6: Final answer
    x = 43,213.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.