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Finding the Fourth Proportional to 70,311.96, 105,478.89 and 22,916.05

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Solution

The fourth proportional to 70,311.96, 105,478.89 and 22,916.05 is: 34,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,311.96 : 105,478.89 = 22,916.05 : x
  2. Step 2: Convert to fraction form
    70,311.96/105,478.89 = 22,916.05/x
  3. Step 3: Cross multiply
    70,311.96x = 105,478.89 × 22,916.05
  4. Step 4: Simplify right side
    70,311.96x = 2,417,159,359.36
  5. Step 5: Solve for x
    x = 2,417,159,359.36/70,311.96
  6. Step 6: Final answer
    x = 34,377.64

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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.