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Finding the Fourth Proportional to 90,824.50, 136,258.62 and 28,495

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Solution

The fourth proportional to 90,824.50, 136,258.62 and 28,495 is: 42,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,824.50 : 136,258.62 = 28,495 : x
  2. Step 2: Convert to fraction form
    90,824.50/136,258.62 = 28,495/x
  3. Step 3: Cross multiply
    90,824.50x = 136,258.62 × 28,495
  4. Step 4: Simplify right side
    90,824.50x = 3,882,689,376.90
  5. Step 5: Solve for x
    x = 3,882,689,376.90/90,824.50
  6. Step 6: Final answer
    x = 42,749.36

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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.