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Finding the Fourth Proportional to 45,746.70, 63,140.28 and 27,847.50

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Solution

The fourth proportional to 45,746.70, 63,140.28 and 27,847.50 is: 38,435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,746.70 : 63,140.28 = 27,847.50 : x
  2. Step 2: Convert to fraction form
    45,746.70/63,140.28 = 27,847.50/x
  3. Step 3: Cross multiply
    45,746.70x = 63,140.28 × 27,847.50
  4. Step 4: Simplify right side
    45,746.70x = 1,758,298,947.30
  5. Step 5: Solve for x
    x = 1,758,298,947.30/45,746.70
  6. Step 6: Final answer
    x = 38,435.54

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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.