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Finding the Fourth Proportional to 98,575.12, 147,905.04 and 32,035.64

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Solution

The fourth proportional to 98,575.12, 147,905.04 and 32,035.64 is: 48,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,575.12 : 147,905.04 = 32,035.64 : x
  2. Step 2: Convert to fraction form
    98,575.12/147,905.04 = 32,035.64/x
  3. Step 3: Cross multiply
    98,575.12x = 147,905.04 × 32,035.64
  4. Step 4: Simplify right side
    98,575.12x = 4,738,232,615.63
  5. Step 5: Solve for x
    x = 4,738,232,615.63/98,575.12
  6. Step 6: Final answer
    x = 48,067.23

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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.