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Finding the Fourth Proportional to 75,005.40, 112,508.10 and 30,617.40

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Solution

The fourth proportional to 75,005.40, 112,508.10 and 30,617.40 is: 45,926.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,005.40 : 112,508.10 = 30,617.40 : x
  2. Step 2: Convert to fraction form
    75,005.40/112,508.10 = 30,617.40/x
  3. Step 3: Cross multiply
    75,005.40x = 112,508.10 × 30,617.40
  4. Step 4: Simplify right side
    75,005.40x = 3,444,705,500.94
  5. Step 5: Solve for x
    x = 3,444,705,500.94/75,005.40
  6. Step 6: Final answer
    x = 45,926.10

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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.