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Finding the Fourth Proportional to 70,916.02, 106,373.70 and 20,996.41

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Solution

The fourth proportional to 70,916.02, 106,373.70 and 20,996.41 is: 31,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,916.02 : 106,373.70 = 20,996.41 : x
  2. Step 2: Convert to fraction form
    70,916.02/106,373.70 = 20,996.41/x
  3. Step 3: Cross multiply
    70,916.02x = 106,373.70 × 20,996.41
  4. Step 4: Simplify right side
    70,916.02x = 2,233,465,818.42
  5. Step 5: Solve for x
    x = 2,233,465,818.42/70,916.02
  6. Step 6: Final answer
    x = 31,494.52

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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.