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Finding the Fourth Proportional to 32,521.16, 48,784.98 and 8,829.09

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Solution

The fourth proportional to 32,521.16, 48,784.98 and 8,829.09 is: 13,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,521.16 : 48,784.98 = 8,829.09 : x
  2. Step 2: Convert to fraction form
    32,521.16/48,784.98 = 8,829.09/x
  3. Step 3: Cross multiply
    32,521.16x = 48,784.98 × 8,829.09
  4. Step 4: Simplify right side
    32,521.16x = 430,726,979.07
  5. Step 5: Solve for x
    x = 430,726,979.07/32,521.16
  6. Step 6: Final answer
    x = 13,244.51

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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.