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Finding the Fourth Proportional to 32,714.23, 49,071.33 and 10,529.33

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Solution

The fourth proportional to 32,714.23, 49,071.33 and 10,529.33 is: 15,793.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.23 : 49,071.33 = 10,529.33 : x
  2. Step 2: Convert to fraction form
    32,714.23/49,071.33 = 10,529.33/x
  3. Step 3: Cross multiply
    32,714.23x = 49,071.33 × 10,529.33
  4. Step 4: Simplify right side
    32,714.23x = 516,688,227.11
  5. Step 5: Solve for x
    x = 516,688,227.11/32,714.23
  6. Step 6: Final answer
    x = 15,793.99

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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.