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Finding the Fourth Proportional to 32,337.81, 48,516.84 and 20,565

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Solution

The fourth proportional to 32,337.81, 48,516.84 and 20,565 is: 30,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,337.81 : 48,516.84 = 20,565 : x
  2. Step 2: Convert to fraction form
    32,337.81/48,516.84 = 20,565/x
  3. Step 3: Cross multiply
    32,337.81x = 48,516.84 × 20,565
  4. Step 4: Simplify right side
    32,337.81x = 997,748,814.60
  5. Step 5: Solve for x
    x = 997,748,814.60/32,337.81
  6. Step 6: Final answer
    x = 30,853.94

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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.