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Finding the Fourth Proportional to 90,307.32, 135,492.88 and 40,383

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Solution

The fourth proportional to 90,307.32, 135,492.88 and 40,383 is: 60,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,307.32 : 135,492.88 = 40,383 : x
  2. Step 2: Convert to fraction form
    90,307.32/135,492.88 = 40,383/x
  3. Step 3: Cross multiply
    90,307.32x = 135,492.88 × 40,383
  4. Step 4: Simplify right side
    90,307.32x = 5,471,608,973.04
  5. Step 5: Solve for x
    x = 5,471,608,973.04/90,307.32
  6. Step 6: Final answer
    x = 60,588.76

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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.