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Finding the Fourth Proportional to 56,362.50, 77,782.68 and 31,212

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Solution

The fourth proportional to 56,362.50, 77,782.68 and 31,212 is: 43,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,362.50 : 77,782.68 = 31,212 : x
  2. Step 2: Convert to fraction form
    56,362.50/77,782.68 = 31,212/x
  3. Step 3: Cross multiply
    56,362.50x = 77,782.68 × 31,212
  4. Step 4: Simplify right side
    56,362.50x = 2,427,753,008.16
  5. Step 5: Solve for x
    x = 2,427,753,008.16/56,362.50
  6. Step 6: Final answer
    x = 43,073.91

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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.