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Finding the Fourth Proportional to 117,689, 176,533.52 and 34,583

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Solution

The fourth proportional to 117,689, 176,533.52 and 34,583 is: 51,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,689 : 176,533.52 = 34,583 : x
  2. Step 2: Convert to fraction form
    117,689/176,533.52 = 34,583/x
  3. Step 3: Cross multiply
    117,689x = 176,533.52 × 34,583
  4. Step 4: Simplify right side
    117,689x = 6,105,058,722.16
  5. Step 5: Solve for x
    x = 6,105,058,722.16/117,689
  6. Step 6: Final answer
    x = 51,874.51

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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.