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Finding the Fourth Proportional to 117,612, 176,447.16 and 34,506

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Solution

The fourth proportional to 117,612, 176,447.16 and 34,506 is: 51,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,612 : 176,447.16 = 34,506 : x
  2. Step 2: Convert to fraction form
    117,612/176,447.16 = 34,506/x
  3. Step 3: Cross multiply
    117,612x = 176,447.16 × 34,506
  4. Step 4: Simplify right side
    117,612x = 6,088,485,702.96
  5. Step 5: Solve for x
    x = 6,088,485,702.96/117,612
  6. Step 6: Final answer
    x = 51,767.56

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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.