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Finding the Fourth Proportional to 32,458.69, 48,688.03 and 7,834.69

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Solution

The fourth proportional to 32,458.69, 48,688.03 and 7,834.69 is: 11,752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458.69 : 48,688.03 = 7,834.69 : x
  2. Step 2: Convert to fraction form
    32,458.69/48,688.03 = 7,834.69/x
  3. Step 3: Cross multiply
    32,458.69x = 48,688.03 × 7,834.69
  4. Step 4: Simplify right side
    32,458.69x = 381,455,439.18
  5. Step 5: Solve for x
    x = 381,455,439.18/32,458.69
  6. Step 6: Final answer
    x = 11,752.03

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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.