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Finding the Fourth Proportional to 65,696.19, 90,633.90 and 48,509.74

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Solution

The fourth proportional to 65,696.19, 90,633.90 and 48,509.74 is: 66,923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,696.19 : 90,633.90 = 48,509.74 : x
  2. Step 2: Convert to fraction form
    65,696.19/90,633.90 = 48,509.74/x
  3. Step 3: Cross multiply
    65,696.19x = 90,633.90 × 48,509.74
  4. Step 4: Simplify right side
    65,696.19x = 4,396,626,924.19
  5. Step 5: Solve for x
    x = 4,396,626,924.19/65,696.19
  6. Step 6: Final answer
    x = 66,923.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.