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Finding the Fourth Proportional to 126,582.64, 189,762.21 and 47,752.22

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Solution

The fourth proportional to 126,582.64, 189,762.21 and 47,752.22 is: 71,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,582.64 : 189,762.21 = 47,752.22 : x
  2. Step 2: Convert to fraction form
    126,582.64/189,762.21 = 47,752.22/x
  3. Step 3: Cross multiply
    126,582.64x = 189,762.21 × 47,752.22
  4. Step 4: Simplify right side
    126,582.64x = 9,061,567,274.01
  5. Step 5: Solve for x
    x = 9,061,567,274.01/126,582.64
  6. Step 6: Final answer
    x = 71,586.18

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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.