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Finding the Fourth Proportional to 105,797.64, 158,758.53 and 39,283.95

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Solution

The fourth proportional to 105,797.64, 158,758.53 and 39,283.95 is: 58,948.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,797.64 : 158,758.53 = 39,283.95 : x
  2. Step 2: Convert to fraction form
    105,797.64/158,758.53 = 39,283.95/x
  3. Step 3: Cross multiply
    105,797.64x = 158,758.53 × 39,283.95
  4. Step 4: Simplify right side
    105,797.64x = 6,236,662,154.59
  5. Step 5: Solve for x
    x = 6,236,662,154.59/105,797.64
  6. Step 6: Final answer
    x = 58,948.97

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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.