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Finding the Fourth Proportional to 68,665.42, 102,972.21 and 31,703.50

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Solution

The fourth proportional to 68,665.42, 102,972.21 and 31,703.50 is: 47,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,665.42 : 102,972.21 = 31,703.50 : x
  2. Step 2: Convert to fraction form
    68,665.42/102,972.21 = 31,703.50/x
  3. Step 3: Cross multiply
    68,665.42x = 102,972.21 × 31,703.50
  4. Step 4: Simplify right side
    68,665.42x = 3,264,579,459.74
  5. Step 5: Solve for x
    x = 3,264,579,459.74/68,665.42
  6. Step 6: Final answer
    x = 47,543.28

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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.