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Finding the Fourth Proportional to 56,596.67, 78,099.63 and 31,102.48

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Solution

The fourth proportional to 56,596.67, 78,099.63 and 31,102.48 is: 42,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,596.67 : 78,099.63 = 31,102.48 : x
  2. Step 2: Convert to fraction form
    56,596.67/78,099.63 = 31,102.48/x
  3. Step 3: Cross multiply
    56,596.67x = 78,099.63 × 31,102.48
  4. Step 4: Simplify right side
    56,596.67x = 2,429,092,161.07
  5. Step 5: Solve for x
    x = 2,429,092,161.07/56,596.67
  6. Step 6: Final answer
    x = 42,919.35

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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.