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Finding the Fourth Proportional to 114,527.92, 171,789.76 and 47,045.64

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Solution

The fourth proportional to 114,527.92, 171,789.76 and 47,045.64 is: 70,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,527.92 : 171,789.76 = 47,045.64 : x
  2. Step 2: Convert to fraction form
    114,527.92/171,789.76 = 47,045.64/x
  3. Step 3: Cross multiply
    114,527.92x = 171,789.76 × 47,045.64
  4. Step 4: Simplify right side
    114,527.92x = 8,081,959,204.65
  5. Step 5: Solve for x
    x = 8,081,959,204.65/114,527.92
  6. Step 6: Final answer
    x = 70,567.59

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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.