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Finding the Fourth Proportional to 101,991.46, 153,047.12 and 42,822.58

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Solution

The fourth proportional to 101,991.46, 153,047.12 and 42,822.58 is: 64,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,991.46 : 153,047.12 = 42,822.58 : x
  2. Step 2: Convert to fraction form
    101,991.46/153,047.12 = 42,822.58/x
  3. Step 3: Cross multiply
    101,991.46x = 153,047.12 × 42,822.58
  4. Step 4: Simplify right side
    101,991.46x = 6,553,872,539.97
  5. Step 5: Solve for x
    x = 6,553,872,539.97/101,991.46
  6. Step 6: Final answer
    x = 64,259.03

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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.