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Finding the Fourth Proportional to 32,900.34, 49,349.70 and 10,412.58

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Solution

The fourth proportional to 32,900.34, 49,349.70 and 10,412.58 is: 15,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,900.34 : 49,349.70 = 10,412.58 : x
  2. Step 2: Convert to fraction form
    32,900.34/49,349.70 = 10,412.58/x
  3. Step 3: Cross multiply
    32,900.34x = 49,349.70 × 10,412.58
  4. Step 4: Simplify right side
    32,900.34x = 513,857,699.23
  5. Step 5: Solve for x
    x = 513,857,699.23/32,900.34
  6. Step 6: Final answer
    x = 15,618.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.