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Finding the Fourth Proportional to 32,873.41, 49,314.89 and 10,376.47

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Solution

The fourth proportional to 32,873.41, 49,314.89 and 10,376.47 is: 15,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,873.41 : 49,314.89 = 10,376.47 : x
  2. Step 2: Convert to fraction form
    32,873.41/49,314.89 = 10,376.47/x
  3. Step 3: Cross multiply
    32,873.41x = 49,314.89 × 10,376.47
  4. Step 4: Simplify right side
    32,873.41x = 511,714,564.22
  5. Step 5: Solve for x
    x = 511,714,564.22/32,873.41
  6. Step 6: Final answer
    x = 15,566.21

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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.