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Finding the Fourth Proportional to 114,671.76, 171,966.72 and 47,184.12

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Solution

The fourth proportional to 114,671.76, 171,966.72 and 47,184.12 is: 70,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,671.76 : 171,966.72 = 47,184.12 : x
  2. Step 2: Convert to fraction form
    114,671.76/171,966.72 = 47,184.12/x
  3. Step 3: Cross multiply
    114,671.76x = 171,966.72 × 47,184.12
  4. Step 4: Simplify right side
    114,671.76x = 8,114,098,352.49
  5. Step 5: Solve for x
    x = 8,114,098,352.49/114,671.76
  6. Step 6: Final answer
    x = 70,759.34

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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.