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Finding the Fourth Proportional to 99,838.74, 149,714.37 and 37,465.50

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Solution

The fourth proportional to 99,838.74, 149,714.37 and 37,465.50 is: 56,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,838.74 : 149,714.37 = 37,465.50 : x
  2. Step 2: Convert to fraction form
    99,838.74/149,714.37 = 37,465.50/x
  3. Step 3: Cross multiply
    99,838.74x = 149,714.37 × 37,465.50
  4. Step 4: Simplify right side
    99,838.74x = 5,609,123,729.24
  5. Step 5: Solve for x
    x = 5,609,123,729.24/99,838.74
  6. Step 6: Final answer
    x = 56,181.84

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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.