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Finding the Fourth Proportional to 76,767.43, 115,151.15 and 29,987.50

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Solution

The fourth proportional to 76,767.43, 115,151.15 and 29,987.50 is: 44,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,767.43 : 115,151.15 = 29,987.50 : x
  2. Step 2: Convert to fraction form
    76,767.43/115,151.15 = 29,987.50/x
  3. Step 3: Cross multiply
    76,767.43x = 115,151.15 × 29,987.50
  4. Step 4: Simplify right side
    76,767.43x = 3,453,095,110.63
  5. Step 5: Solve for x
    x = 3,453,095,110.63/76,767.43
  6. Step 6: Final answer
    x = 44,981.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.