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Finding the Fourth Proportional to 75,630.32, 113,457.78 and 25,714.88

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Solution

The fourth proportional to 75,630.32, 113,457.78 and 25,714.88 is: 38,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,630.32 : 113,457.78 = 25,714.88 : x
  2. Step 2: Convert to fraction form
    75,630.32/113,457.78 = 25,714.88/x
  3. Step 3: Cross multiply
    75,630.32x = 113,457.78 × 25,714.88
  4. Step 4: Simplify right side
    75,630.32x = 2,917,553,197.77
  5. Step 5: Solve for x
    x = 2,917,553,197.77/75,630.32
  6. Step 6: Final answer
    x = 38,576.50

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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.