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Finding the Fourth Proportional to 74,812.71, 112,226.10 and 29,823.23

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Solution

The fourth proportional to 74,812.71, 112,226.10 and 29,823.23 is: 44,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,812.71 : 112,226.10 = 29,823.23 : x
  2. Step 2: Convert to fraction form
    74,812.71/112,226.10 = 29,823.23/x
  3. Step 3: Cross multiply
    74,812.71x = 112,226.10 × 29,823.23
  4. Step 4: Simplify right side
    74,812.71x = 3,346,944,231.17
  5. Step 5: Solve for x
    x = 3,346,944,231.17/74,812.71
  6. Step 6: Final answer
    x = 44,737.64

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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.