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Finding the Fourth Proportional to 55,300.32, 76,309.90 and 31,099.95

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Solution

The fourth proportional to 55,300.32, 76,309.90 and 31,099.95 is: 42,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,300.32 : 76,309.90 = 31,099.95 : x
  2. Step 2: Convert to fraction form
    55,300.32/76,309.90 = 31,099.95/x
  3. Step 3: Cross multiply
    55,300.32x = 76,309.90 × 31,099.95
  4. Step 4: Simplify right side
    55,300.32x = 2,373,233,996.76
  5. Step 5: Solve for x
    x = 2,373,233,996.76/55,300.32
  6. Step 6: Final answer
    x = 42,915.38

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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.