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Finding the Fourth Proportional to 117,690, 176,535 and 34,584

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Solution

The fourth proportional to 117,690, 176,535 and 34,584 is: 51,876

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,690 : 176,535 = 34,584 : x
  2. Step 2: Convert to fraction form
    117,690/176,535 = 34,584/x
  3. Step 3: Cross multiply
    117,690x = 176,535 × 34,584
  4. Step 4: Simplify right side
    117,690x = 6,105,286,440
  5. Step 5: Solve for x
    x = 6,105,286,440/117,690
  6. Step 6: Final answer
    x = 51,876

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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.