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Finding the Fourth Proportional to 90,566.64, 135,849.96 and 28,242

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Solution

The fourth proportional to 90,566.64, 135,849.96 and 28,242 is: 42,363

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,566.64 : 135,849.96 = 28,242 : x
  2. Step 2: Convert to fraction form
    90,566.64/135,849.96 = 28,242/x
  3. Step 3: Cross multiply
    90,566.64x = 135,849.96 × 28,242
  4. Step 4: Simplify right side
    90,566.64x = 3,836,674,570.32
  5. Step 5: Solve for x
    x = 3,836,674,570.32/90,566.64
  6. Step 6: Final answer
    x = 42,363

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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.