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Finding the Fourth Proportional to 75,307.56, 112,892.22 and 26,025

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Solution

The fourth proportional to 75,307.56, 112,892.22 and 26,025 is: 39,013.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,307.56 : 112,892.22 = 26,025 : x
  2. Step 2: Convert to fraction form
    75,307.56/112,892.22 = 26,025/x
  3. Step 3: Cross multiply
    75,307.56x = 112,892.22 × 26,025
  4. Step 4: Simplify right side
    75,307.56x = 2,938,020,025.50
  5. Step 5: Solve for x
    x = 2,938,020,025.50/75,307.56
  6. Step 6: Final answer
    x = 39,013.61

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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.