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Finding the Fourth Proportional to 56,493.76, 77,970.72 and 31,351.36

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Solution

The fourth proportional to 56,493.76, 77,970.72 and 31,351.36 is: 43,270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,493.76 : 77,970.72 = 31,351.36 : x
  2. Step 2: Convert to fraction form
    56,493.76/77,970.72 = 31,351.36/x
  3. Step 3: Cross multiply
    56,493.76x = 77,970.72 × 31,351.36
  4. Step 4: Simplify right side
    56,493.76x = 2,444,488,112.18
  5. Step 5: Solve for x
    x = 2,444,488,112.18/56,493.76
  6. Step 6: Final answer
    x = 43,270.06

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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.