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Finding the Fourth Proportional to 76,470.35, 114,705.52 and 29,734.16

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Solution

The fourth proportional to 76,470.35, 114,705.52 and 29,734.16 is: 44,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,470.35 : 114,705.52 = 29,734.16 : x
  2. Step 2: Convert to fraction form
    76,470.35/114,705.52 = 29,734.16/x
  3. Step 3: Cross multiply
    76,470.35x = 114,705.52 × 29,734.16
  4. Step 4: Simplify right side
    76,470.35x = 3,410,671,636.70
  5. Step 5: Solve for x
    x = 3,410,671,636.70/76,470.35
  6. Step 6: Final answer
    x = 44,601.23

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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.