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Finding the Fourth Proportional to 89,776, 134,664 and 34,372

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Solution

The fourth proportional to 89,776, 134,664 and 34,372 is: 51,558

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,776 : 134,664 = 34,372 : x
  2. Step 2: Convert to fraction form
    89,776/134,664 = 34,372/x
  3. Step 3: Cross multiply
    89,776x = 134,664 × 34,372
  4. Step 4: Simplify right side
    89,776x = 4,628,671,008
  5. Step 5: Solve for x
    x = 4,628,671,008/89,776
  6. Step 6: Final answer
    x = 51,558

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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.