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Finding the Fourth Proportional to 65,886.30, 90,923.31 and 35,671.62

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Solution

The fourth proportional to 65,886.30, 90,923.31 and 35,671.62 is: 49,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,886.30 : 90,923.31 = 35,671.62 : x
  2. Step 2: Convert to fraction form
    65,886.30/90,923.31 = 35,671.62/x
  3. Step 3: Cross multiply
    65,886.30x = 90,923.31 × 35,671.62
  4. Step 4: Simplify right side
    65,886.30x = 3,243,381,763.46
  5. Step 5: Solve for x
    x = 3,243,381,763.46/65,886.30
  6. Step 6: Final answer
    x = 49,226.95

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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.