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Finding the Fourth Proportional to 32,573.38, 48,862.81 and 10,389.91

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Solution

The fourth proportional to 32,573.38, 48,862.81 and 10,389.91 is: 15,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,573.38 : 48,862.81 = 10,389.91 : x
  2. Step 2: Convert to fraction form
    32,573.38/48,862.81 = 10,389.91/x
  3. Step 3: Cross multiply
    32,573.38x = 48,862.81 × 10,389.91
  4. Step 4: Simplify right side
    32,573.38x = 507,680,198.25
  5. Step 5: Solve for x
    x = 507,680,198.25/32,573.38
  6. Step 6: Final answer
    x = 15,585.74

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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.