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Finding the Fourth Proportional to 109,082.69, 163,583.52 and 37,987.08

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Solution

The fourth proportional to 109,082.69, 163,583.52 and 37,987.08 is: 56,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,082.69 : 163,583.52 = 37,987.08 : x
  2. Step 2: Convert to fraction form
    109,082.69/163,583.52 = 37,987.08/x
  3. Step 3: Cross multiply
    109,082.69x = 163,583.52 × 37,987.08
  4. Step 4: Simplify right side
    109,082.69x = 6,214,060,260.92
  5. Step 5: Solve for x
    x = 6,214,060,260.92/109,082.69
  6. Step 6: Final answer
    x = 56,966.51

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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.