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Finding the Fourth Proportional to 56,023.45, 83,978.20 and 22,313.35

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Solution

The fourth proportional to 56,023.45, 83,978.20 and 22,313.35 is: 33,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,023.45 : 83,978.20 = 22,313.35 : x
  2. Step 2: Convert to fraction form
    56,023.45/83,978.20 = 22,313.35/x
  3. Step 3: Cross multiply
    56,023.45x = 83,978.20 × 22,313.35
  4. Step 4: Simplify right side
    56,023.45x = 1,873,834,437.51
  5. Step 5: Solve for x
    x = 1,873,834,437.51/56,023.45
  6. Step 6: Final answer
    x = 33,447.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.