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Finding the Fourth Proportional to 90,210.64, 135,328.92 and 27,886

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Solution

The fourth proportional to 90,210.64, 135,328.92 and 27,886 is: 41,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,210.64 : 135,328.92 = 27,886 : x
  2. Step 2: Convert to fraction form
    90,210.64/135,328.92 = 27,886/x
  3. Step 3: Cross multiply
    90,210.64x = 135,328.92 × 27,886
  4. Step 4: Simplify right side
    90,210.64x = 3,773,782,263.12
  5. Step 5: Solve for x
    x = 3,773,782,263.12/90,210.64
  6. Step 6: Final answer
    x = 41,833.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.