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Finding the Fourth Proportional to 32,458.02, 48,687.03 and 7,834.02

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Solution

The fourth proportional to 32,458.02, 48,687.03 and 7,834.02 is: 11,751.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458.02 : 48,687.03 = 7,834.02 : x
  2. Step 2: Convert to fraction form
    32,458.02/48,687.03 = 7,834.02/x
  3. Step 3: Cross multiply
    32,458.02x = 48,687.03 × 7,834.02
  4. Step 4: Simplify right side
    32,458.02x = 381,415,166.76
  5. Step 5: Solve for x
    x = 381,415,166.76/32,458.02
  6. Step 6: Final answer
    x = 11,751.03

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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.