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Finding the Fourth Proportional to 98,259.31, 147,399.95 and 35,094.07

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Solution

The fourth proportional to 98,259.31, 147,399.95 and 35,094.07 is: 52,645.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,259.31 : 147,399.95 = 35,094.07 : x
  2. Step 2: Convert to fraction form
    98,259.31/147,399.95 = 35,094.07/x
  3. Step 3: Cross multiply
    98,259.31x = 147,399.95 × 35,094.07
  4. Step 4: Simplify right side
    98,259.31x = 5,172,864,163.30
  5. Step 5: Solve for x
    x = 5,172,864,163.30/98,259.31
  6. Step 6: Final answer
    x = 52,645.03

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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.