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Finding the Fourth Proportional to 126,506.40, 189,613.52 and 47,570.28

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Solution

The fourth proportional to 126,506.40, 189,613.52 and 47,570.28 is: 71,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,506.40 : 189,613.52 = 47,570.28 : x
  2. Step 2: Convert to fraction form
    126,506.40/189,613.52 = 47,570.28/x
  3. Step 3: Cross multiply
    126,506.40x = 189,613.52 × 47,570.28
  4. Step 4: Simplify right side
    126,506.40x = 9,019,968,238.19
  5. Step 5: Solve for x
    x = 9,019,968,238.19/126,506.40
  6. Step 6: Final answer
    x = 71,300.49

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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.