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Finding the Fourth Proportional to 77,441.32, 116,166.30 and 22,033

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Solution

The fourth proportional to 77,441.32, 116,166.30 and 22,033 is: 33,050.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,441.32 : 116,166.30 = 22,033 : x
  2. Step 2: Convert to fraction form
    77,441.32/116,166.30 = 22,033/x
  3. Step 3: Cross multiply
    77,441.32x = 116,166.30 × 22,033
  4. Step 4: Simplify right side
    77,441.32x = 2,559,492,087.90
  5. Step 5: Solve for x
    x = 2,559,492,087.90/77,441.32
  6. Step 6: Final answer
    x = 33,050.73

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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.