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Finding the Fourth Proportional to 98,543.43, 147,747.69 and 35,362.13

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Solution

The fourth proportional to 98,543.43, 147,747.69 and 35,362.13 is: 53,018.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,543.43 : 147,747.69 = 35,362.13 : x
  2. Step 2: Convert to fraction form
    98,543.43/147,747.69 = 35,362.13/x
  3. Step 3: Cross multiply
    98,543.43x = 147,747.69 × 35,362.13
  4. Step 4: Simplify right side
    98,543.43x = 5,224,672,282.24
  5. Step 5: Solve for x
    x = 5,224,672,282.24/98,543.43
  6. Step 6: Final answer
    x = 53,018.98

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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.