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Finding the Fourth Proportional to 56,857.88, 78,463.95 and 31,363.67

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Solution

The fourth proportional to 56,857.88, 78,463.95 and 31,363.67 is: 43,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,857.88 : 78,463.95 = 31,363.67 : x
  2. Step 2: Convert to fraction form
    56,857.88/78,463.95 = 31,363.67/x
  3. Step 3: Cross multiply
    56,857.88x = 78,463.95 × 31,363.67
  4. Step 4: Simplify right side
    56,857.88x = 2,460,917,434.70
  5. Step 5: Solve for x
    x = 2,460,917,434.70/56,857.88
  6. Step 6: Final answer
    x = 43,281.91

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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.