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Finding the Fourth Proportional to 32,907.66, 49,367.16 and 10,714.74

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Solution

The fourth proportional to 32,907.66, 49,367.16 and 10,714.74 is: 16,073.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,907.66 : 49,367.16 = 10,714.74 : x
  2. Step 2: Convert to fraction form
    32,907.66/49,367.16 = 10,714.74/x
  3. Step 3: Cross multiply
    32,907.66x = 49,367.16 × 10,714.74
  4. Step 4: Simplify right side
    32,907.66x = 528,956,283.94
  5. Step 5: Solve for x
    x = 528,956,283.94/32,907.66
  6. Step 6: Final answer
    x = 16,073.96

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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.