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Finding the Fourth Proportional to 32,507.70, 48,763.23 and 10,322.81

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Solution

The fourth proportional to 32,507.70, 48,763.23 and 10,322.81 is: 15,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507.70 : 48,763.23 = 10,322.81 : x
  2. Step 2: Convert to fraction form
    32,507.70/48,763.23 = 10,322.81/x
  3. Step 3: Cross multiply
    32,507.70x = 48,763.23 × 10,322.81
  4. Step 4: Simplify right side
    32,507.70x = 503,373,558.28
  5. Step 5: Solve for x
    x = 503,373,558.28/32,507.70
  6. Step 6: Final answer
    x = 15,484.75

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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.