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Finding the Fourth Proportional to 55,925.76, 83,828 and 27,866.76

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Solution

The fourth proportional to 55,925.76, 83,828 and 27,866.76 is: 41,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,925.76 : 83,828 = 27,866.76 : x
  2. Step 2: Convert to fraction form
    55,925.76/83,828 = 27,866.76/x
  3. Step 3: Cross multiply
    55,925.76x = 83,828 × 27,866.76
  4. Step 4: Simplify right side
    55,925.76x = 2,336,014,757.28
  5. Step 5: Solve for x
    x = 2,336,014,757.28/55,925.76
  6. Step 6: Final answer
    x = 41,769.92

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1.5x scale

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.