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Finding the Fourth Proportional to 90,690.33, 135,957.59 and 31,518.32

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Solution

The fourth proportional to 90,690.33, 135,957.59 and 31,518.32 is: 47,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,690.33 : 135,957.59 = 31,518.32 : x
  2. Step 2: Convert to fraction form
    90,690.33/135,957.59 = 31,518.32/x
  3. Step 3: Cross multiply
    90,690.33x = 135,957.59 × 31,518.32
  4. Step 4: Simplify right side
    90,690.33x = 4,285,154,108.86
  5. Step 5: Solve for x
    x = 4,285,154,108.86/90,690.33
  6. Step 6: Final answer
    x = 47,250.40

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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.