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Finding the Fourth Proportional to 56,885.81, 78,501.77 and 31,392.38

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Solution

The fourth proportional to 56,885.81, 78,501.77 and 31,392.38 is: 43,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,885.81 : 78,501.77 = 31,392.38 : x
  2. Step 2: Convert to fraction form
    56,885.81/78,501.77 = 31,392.38/x
  3. Step 3: Cross multiply
    56,885.81x = 78,501.77 × 31,392.38
  4. Step 4: Simplify right side
    56,885.81x = 2,464,356,845.04
  5. Step 5: Solve for x
    x = 2,464,356,845.04/56,885.81
  6. Step 6: Final answer
    x = 43,321.12

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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.