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Finding the Fourth Proportional to 76,924.32, 115,387.40 and 27,005.86

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Solution

The fourth proportional to 76,924.32, 115,387.40 and 27,005.86 is: 40,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,924.32 : 115,387.40 = 27,005.86 : x
  2. Step 2: Convert to fraction form
    76,924.32/115,387.40 = 27,005.86/x
  3. Step 3: Cross multiply
    76,924.32x = 115,387.40 × 27,005.86
  4. Step 4: Simplify right side
    76,924.32x = 3,116,135,970.16
  5. Step 5: Solve for x
    x = 3,116,135,970.16/76,924.32
  6. Step 6: Final answer
    x = 40,509.11

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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.