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Finding the Fourth Proportional to 32,307, 48,455.04 and 8,933.52

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Solution

The fourth proportional to 32,307, 48,455.04 and 8,933.52 is: 13,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307 : 48,455.04 = 8,933.52 : x
  2. Step 2: Convert to fraction form
    32,307/48,455.04 = 8,933.52/x
  3. Step 3: Cross multiply
    32,307x = 48,455.04 × 8,933.52
  4. Step 4: Simplify right side
    32,307x = 432,874,068.94
  5. Step 5: Solve for x
    x = 432,874,068.94/32,307
  6. Step 6: Final answer
    x = 13,398.77

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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.