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Finding the Fourth Proportional to 117,082.17, 175,623.26 and 28,335.69

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Solution

The fourth proportional to 117,082.17, 175,623.26 and 28,335.69 is: 42,503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,082.17 : 175,623.26 = 28,335.69 : x
  2. Step 2: Convert to fraction form
    117,082.17/175,623.26 = 28,335.69/x
  3. Step 3: Cross multiply
    117,082.17x = 175,623.26 × 28,335.69
  4. Step 4: Simplify right side
    117,082.17x = 4,976,406,322.99
  5. Step 5: Solve for x
    x = 4,976,406,322.99/117,082.17
  6. Step 6: Final answer
    x = 42,503.54

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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.