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Finding the Fourth Proportional to 56,502.56, 77,971.68 and 31,353.92

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Solution

The fourth proportional to 56,502.56, 77,971.68 and 31,353.92 is: 43,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,502.56 : 77,971.68 = 31,353.92 : x
  2. Step 2: Convert to fraction form
    56,502.56/77,971.68 = 31,353.92/x
  3. Step 3: Cross multiply
    56,502.56x = 77,971.68 × 31,353.92
  4. Step 4: Simplify right side
    56,502.56x = 2,444,717,816.99
  5. Step 5: Solve for x
    x = 2,444,717,816.99/56,502.56
  6. Step 6: Final answer
    x = 43,267.38

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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.