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Finding the Fourth Proportional to 32,804.40, 49,207.14 and 10,314.38

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Solution

The fourth proportional to 32,804.40, 49,207.14 and 10,314.38 is: 15,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,804.40 : 49,207.14 = 10,314.38 : x
  2. Step 2: Convert to fraction form
    32,804.40/49,207.14 = 10,314.38/x
  3. Step 3: Cross multiply
    32,804.40x = 49,207.14 × 10,314.38
  4. Step 4: Simplify right side
    32,804.40x = 507,541,140.67
  5. Step 5: Solve for x
    x = 507,541,140.67/32,804.40
  6. Step 6: Final answer
    x = 15,471.74

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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.