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Finding the Fourth Proportional to 117,970.13, 176,954.11 and 47,832.77

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Solution

The fourth proportional to 117,970.13, 176,954.11 and 47,832.77 is: 71,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,970.13 : 176,954.11 = 47,832.77 : x
  2. Step 2: Convert to fraction form
    117,970.13/176,954.11 = 47,832.77/x
  3. Step 3: Cross multiply
    117,970.13x = 176,954.11 × 47,832.77
  4. Step 4: Simplify right side
    117,970.13x = 8,464,205,244.18
  5. Step 5: Solve for x
    x = 8,464,205,244.18/117,970.13
  6. Step 6: Final answer
    x = 71,748.72

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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.