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Finding the Fourth Proportional to 74,993.60, 112,492.42 and 32,852

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Solution

The fourth proportional to 74,993.60, 112,492.42 and 32,852 is: 49,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,993.60 : 112,492.42 = 32,852 : x
  2. Step 2: Convert to fraction form
    74,993.60/112,492.42 = 32,852/x
  3. Step 3: Cross multiply
    74,993.60x = 112,492.42 × 32,852
  4. Step 4: Simplify right side
    74,993.60x = 3,695,600,981.84
  5. Step 5: Solve for x
    x = 3,695,600,981.84/74,993.60
  6. Step 6: Final answer
    x = 49,278.88

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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.