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Finding the Fourth Proportional to 56,829.74, 78,422.18 and 31,674.38

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Solution

The fourth proportional to 56,829.74, 78,422.18 and 31,674.38 is: 43,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,829.74 : 78,422.18 = 31,674.38 : x
  2. Step 2: Convert to fraction form
    56,829.74/78,422.18 = 31,674.38/x
  3. Step 3: Cross multiply
    56,829.74x = 78,422.18 × 31,674.38
  4. Step 4: Simplify right side
    56,829.74x = 2,483,973,929.75
  5. Step 5: Solve for x
    x = 2,483,973,929.75/56,829.74
  6. Step 6: Final answer
    x = 43,709.05

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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.