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Finding the Fourth Proportional to 98,637.44, 147,942.19 and 32,078.53

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Solution

The fourth proportional to 98,637.44, 147,942.19 and 32,078.53 is: 48,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,637.44 : 147,942.19 = 32,078.53 : x
  2. Step 2: Convert to fraction form
    98,637.44/147,942.19 = 32,078.53/x
  3. Step 3: Cross multiply
    98,637.44x = 147,942.19 × 32,078.53
  4. Step 4: Simplify right side
    98,637.44x = 4,745,767,080.08
  5. Step 5: Solve for x
    x = 4,745,767,080.08/98,637.44
  6. Step 6: Final answer
    x = 48,113.24

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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.