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Finding the Fourth Proportional to 126,499.49, 189,776.55 and 47,613.48

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Solution

The fourth proportional to 126,499.49, 189,776.55 and 47,613.48 is: 71,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,499.49 : 189,776.55 = 47,613.48 : x
  2. Step 2: Convert to fraction form
    126,499.49/189,776.55 = 47,613.48/x
  3. Step 3: Cross multiply
    126,499.49x = 189,776.55 × 47,613.48
  4. Step 4: Simplify right side
    126,499.49x = 9,035,921,967.89
  5. Step 5: Solve for x
    x = 9,035,921,967.89/126,499.49
  6. Step 6: Final answer
    x = 71,430.50

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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.