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Finding the Fourth Proportional to 32,072.47, 48,109.79 and 8,699.47

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Solution

The fourth proportional to 32,072.47, 48,109.79 and 8,699.47 is: 13,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,072.47 : 48,109.79 = 8,699.47 : x
  2. Step 2: Convert to fraction form
    32,072.47/48,109.79 = 8,699.47/x
  3. Step 3: Cross multiply
    32,072.47x = 48,109.79 × 8,699.47
  4. Step 4: Simplify right side
    32,072.47x = 418,529,631.31
  5. Step 5: Solve for x
    x = 418,529,631.31/32,072.47
  6. Step 6: Final answer
    x = 13,049.50

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1.5x scale

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.