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Finding the Fourth Proportional to 36,683.12, 55,056.12 and 36,407

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Solution

The fourth proportional to 36,683.12, 55,056.12 and 36,407 is: 54,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,683.12 : 55,056.12 = 36,407 : x
  2. Step 2: Convert to fraction form
    36,683.12/55,056.12 = 36,407/x
  3. Step 3: Cross multiply
    36,683.12x = 55,056.12 × 36,407
  4. Step 4: Simplify right side
    36,683.12x = 2,004,428,160.84
  5. Step 5: Solve for x
    x = 2,004,428,160.84/36,683.12
  6. Step 6: Final answer
    x = 54,641.70

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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.