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Finding the Fourth Proportional to 126,047.48, 189,100.70 and 42,941.48

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Solution

The fourth proportional to 126,047.48, 189,100.70 and 42,941.48 is: 64,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,047.48 : 189,100.70 = 42,941.48 : x
  2. Step 2: Convert to fraction form
    126,047.48/189,100.70 = 42,941.48/x
  3. Step 3: Cross multiply
    126,047.48x = 189,100.70 × 42,941.48
  4. Step 4: Simplify right side
    126,047.48x = 8,120,263,927.04
  5. Step 5: Solve for x
    x = 8,120,263,927.04/126,047.48
  6. Step 6: Final answer
    x = 64,422.26

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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.