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Finding the Fourth Proportional to 32,694.46, 49,030.16 and 10,500.34

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Solution

The fourth proportional to 32,694.46, 49,030.16 and 10,500.34 is: 15,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,694.46 : 49,030.16 = 10,500.34 : x
  2. Step 2: Convert to fraction form
    32,694.46/49,030.16 = 10,500.34/x
  3. Step 3: Cross multiply
    32,694.46x = 49,030.16 × 10,500.34
  4. Step 4: Simplify right side
    32,694.46x = 514,833,482.56
  5. Step 5: Solve for x
    x = 514,833,482.56/32,694.46
  6. Step 6: Final answer
    x = 15,746.81

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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.