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Finding the Fourth Proportional to 74,709.54, 112,069.71 and 29,748.42

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Solution

The fourth proportional to 74,709.54, 112,069.71 and 29,748.42 is: 44,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,709.54 : 112,069.71 = 29,748.42 : x
  2. Step 2: Convert to fraction form
    74,709.54/112,069.71 = 29,748.42/x
  3. Step 3: Cross multiply
    74,709.54x = 112,069.71 × 29,748.42
  4. Step 4: Simplify right side
    74,709.54x = 3,333,896,802.36
  5. Step 5: Solve for x
    x = 3,333,896,802.36/74,709.54
  6. Step 6: Final answer
    x = 44,624.78

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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.