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Finding the Fourth Proportional to 98,508.87, 147,782.59 and 35,312.08

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Solution

The fourth proportional to 98,508.87, 147,782.59 and 35,312.08 is: 52,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,508.87 : 147,782.59 = 35,312.08 : x
  2. Step 2: Convert to fraction form
    98,508.87/147,782.59 = 35,312.08/x
  3. Step 3: Cross multiply
    98,508.87x = 147,782.59 × 35,312.08
  4. Step 4: Simplify right side
    98,508.87x = 5,218,510,640.69
  5. Step 5: Solve for x
    x = 5,218,510,640.69/98,508.87
  6. Step 6: Final answer
    x = 52,975.04

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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.