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Finding the Fourth Proportional to 65,920.32, 98,869.73 and 18,538.65

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Solution

The fourth proportional to 65,920.32, 98,869.73 and 18,538.65 is: 27,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,920.32 : 98,869.73 = 18,538.65 : x
  2. Step 2: Convert to fraction form
    65,920.32/98,869.73 = 18,538.65/x
  3. Step 3: Cross multiply
    65,920.32x = 98,869.73 × 18,538.65
  4. Step 4: Simplify right side
    65,920.32x = 1,832,911,227.37
  5. Step 5: Solve for x
    x = 1,832,911,227.37/65,920.32
  6. Step 6: Final answer
    x = 27,804.95

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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.