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Finding the Fourth Proportional to 97,791, 146,686.50 and 35,461.56

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Solution

The fourth proportional to 97,791, 146,686.50 and 35,461.56 is: 53,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,791 : 146,686.50 = 35,461.56 : x
  2. Step 2: Convert to fraction form
    97,791/146,686.50 = 35,461.56/x
  3. Step 3: Cross multiply
    97,791x = 146,686.50 × 35,461.56
  4. Step 4: Simplify right side
    97,791x = 5,201,732,120.94
  5. Step 5: Solve for x
    x = 5,201,732,120.94/97,791
  6. Step 6: Final answer
    x = 53,192.34

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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.