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Finding the Fourth Proportional to 100,742.58, 151,015.32 and 37,516.32

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Solution

The fourth proportional to 100,742.58, 151,015.32 and 37,516.32 is: 56,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,742.58 : 151,015.32 = 37,516.32 : x
  2. Step 2: Convert to fraction form
    100,742.58/151,015.32 = 37,516.32/x
  3. Step 3: Cross multiply
    100,742.58x = 151,015.32 × 37,516.32
  4. Step 4: Simplify right side
    100,742.58x = 5,665,539,070.02
  5. Step 5: Solve for x
    x = 5,665,539,070.02/100,742.58
  6. Step 6: Final answer
    x = 56,237.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.