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Finding the Fourth Proportional to 98,407.98, 147,614.23 and 35,232.44

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Solution

The fourth proportional to 98,407.98, 147,614.23 and 35,232.44 is: 52,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,407.98 : 147,614.23 = 35,232.44 : x
  2. Step 2: Convert to fraction form
    98,407.98/147,614.23 = 35,232.44/x
  3. Step 3: Cross multiply
    98,407.98x = 147,614.23 × 35,232.44
  4. Step 4: Simplify right side
    98,407.98x = 5,200,808,807.59
  5. Step 5: Solve for x
    x = 5,200,808,807.59/98,407.98
  6. Step 6: Final answer
    x = 52,849.46

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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.