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Finding the Fourth Proportional to 56,334.50, 84,584.82 and 31,423.22

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Solution

The fourth proportional to 56,334.50, 84,584.82 and 31,423.22 is: 47,181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,334.50 : 84,584.82 = 31,423.22 : x
  2. Step 2: Convert to fraction form
    56,334.50/84,584.82 = 31,423.22/x
  3. Step 3: Cross multiply
    56,334.50x = 84,584.82 × 31,423.22
  4. Step 4: Simplify right side
    56,334.50x = 2,657,927,407.52
  5. Step 5: Solve for x
    x = 2,657,927,407.52/56,334.50
  6. Step 6: Final answer
    x = 47,181.17

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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.