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Finding the Fourth Proportional to 99,796.02, 149,694.03 and 47,133.06

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Solution

The fourth proportional to 99,796.02, 149,694.03 and 47,133.06 is: 70,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,796.02 : 149,694.03 = 47,133.06 : x
  2. Step 2: Convert to fraction form
    99,796.02/149,694.03 = 47,133.06/x
  3. Step 3: Cross multiply
    99,796.02x = 149,694.03 × 47,133.06
  4. Step 4: Simplify right side
    99,796.02x = 7,055,537,697.63
  5. Step 5: Solve for x
    x = 7,055,537,697.63/99,796.02
  6. Step 6: Final answer
    x = 70,699.59

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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.