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Finding the Fourth Proportional to 114,037.84, 170,964.44 and 47,527.92

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Solution

The fourth proportional to 114,037.84, 170,964.44 and 47,527.92 is: 71,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,037.84 : 170,964.44 = 47,527.92 : x
  2. Step 2: Convert to fraction form
    114,037.84/170,964.44 = 47,527.92/x
  3. Step 3: Cross multiply
    114,037.84x = 170,964.44 × 47,527.92
  4. Step 4: Simplify right side
    114,037.84x = 8,125,584,227.16
  5. Step 5: Solve for x
    x = 8,125,584,227.16/114,037.84
  6. Step 6: Final answer
    x = 71,253.40

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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.