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Finding the Fourth Proportional to 76,714.94, 115,035.48 and 32,317.50

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Solution

The fourth proportional to 76,714.94, 115,035.48 and 32,317.50 is: 48,460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,714.94 : 115,035.48 = 32,317.50 : x
  2. Step 2: Convert to fraction form
    76,714.94/115,035.48 = 32,317.50/x
  3. Step 3: Cross multiply
    76,714.94x = 115,035.48 × 32,317.50
  4. Step 4: Simplify right side
    76,714.94x = 3,717,659,124.90
  5. Step 5: Solve for x
    x = 3,717,659,124.90/76,714.94
  6. Step 6: Final answer
    x = 48,460.69

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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.