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Finding the Fourth Proportional to 98,913.94, 148,376.94 and 32,361.10

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Solution

The fourth proportional to 98,913.94, 148,376.94 and 32,361.10 is: 48,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,913.94 : 148,376.94 = 32,361.10 : x
  2. Step 2: Convert to fraction form
    98,913.94/148,376.94 = 32,361.10/x
  3. Step 3: Cross multiply
    98,913.94x = 148,376.94 × 32,361.10
  4. Step 4: Simplify right side
    98,913.94x = 4,801,640,993.03
  5. Step 5: Solve for x
    x = 4,801,640,993.03/98,913.94
  6. Step 6: Final answer
    x = 48,543.62

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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.