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Finding the Fourth Proportional to 117,522, 176,283 and 34,416.72

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Solution

The fourth proportional to 117,522, 176,283 and 34,416.72 is: 51,625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,522 : 176,283 = 34,416.72 : x
  2. Step 2: Convert to fraction form
    117,522/176,283 = 34,416.72/x
  3. Step 3: Cross multiply
    117,522x = 176,283 × 34,416.72
  4. Step 4: Simplify right side
    117,522x = 6,067,082,651.76
  5. Step 5: Solve for x
    x = 6,067,082,651.76/117,522
  6. Step 6: Final answer
    x = 51,625.08

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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.