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Finding the Fourth Proportional to 32,994.96, 49,457.88 and 15,450

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Solution

The fourth proportional to 32,994.96, 49,457.88 and 15,450 is: 23,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,994.96 : 49,457.88 = 15,450 : x
  2. Step 2: Convert to fraction form
    32,994.96/49,457.88 = 15,450/x
  3. Step 3: Cross multiply
    32,994.96x = 49,457.88 × 15,450
  4. Step 4: Simplify right side
    32,994.96x = 764,124,246
  5. Step 5: Solve for x
    x = 764,124,246/32,994.96
  6. Step 6: Final answer
    x = 23,158.82

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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.