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Finding the Fourth Proportional to 32,307, 48,460.50 and 8,614.62

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Solution

The fourth proportional to 32,307, 48,460.50 and 8,614.62 is: 12,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307 : 48,460.50 = 8,614.62 : x
  2. Step 2: Convert to fraction form
    32,307/48,460.50 = 8,614.62/x
  3. Step 3: Cross multiply
    32,307x = 48,460.50 × 8,614.62
  4. Step 4: Simplify right side
    32,307x = 417,468,792.51
  5. Step 5: Solve for x
    x = 417,468,792.51/32,307
  6. Step 6: Final answer
    x = 12,921.93

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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.