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Finding the Fourth Proportional to 117,969.66, 176,953.38 and 47,832.30

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Solution

The fourth proportional to 117,969.66, 176,953.38 and 47,832.30 is: 71,748.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,969.66 : 176,953.38 = 47,832.30 : x
  2. Step 2: Convert to fraction form
    117,969.66/176,953.38 = 47,832.30/x
  3. Step 3: Cross multiply
    117,969.66x = 176,953.38 × 47,832.30
  4. Step 4: Simplify right side
    117,969.66x = 8,464,087,158.17
  5. Step 5: Solve for x
    x = 8,464,087,158.17/117,969.66
  6. Step 6: Final answer
    x = 71,748.00

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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.