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Finding the Fourth Proportional to 117,505, 176,257.50 and 29,953

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Solution

The fourth proportional to 117,505, 176,257.50 and 29,953 is: 44,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,505 : 176,257.50 = 29,953 : x
  2. Step 2: Convert to fraction form
    117,505/176,257.50 = 29,953/x
  3. Step 3: Cross multiply
    117,505x = 176,257.50 × 29,953
  4. Step 4: Simplify right side
    117,505x = 5,279,440,897.50
  5. Step 5: Solve for x
    x = 5,279,440,897.50/117,505
  6. Step 6: Final answer
    x = 44,929.50

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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.