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Finding the Fourth Proportional to 98,954.75, 148,376.84 and 32,377.01

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Solution

The fourth proportional to 98,954.75, 148,376.84 and 32,377.01 is: 48,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,954.75 : 148,376.84 = 32,377.01 : x
  2. Step 2: Convert to fraction form
    98,954.75/148,376.84 = 32,377.01/x
  3. Step 3: Cross multiply
    98,954.75x = 148,376.84 × 32,377.01
  4. Step 4: Simplify right side
    98,954.75x = 4,803,997,528.68
  5. Step 5: Solve for x
    x = 4,803,997,528.68/98,954.75
  6. Step 6: Final answer
    x = 48,547.42

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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.