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Finding the Fourth Proportional to 30,128.16, 41,580.68 and 21,507.72

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Solution

The fourth proportional to 30,128.16, 41,580.68 and 21,507.72 is: 29,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,128.16 : 41,580.68 = 21,507.72 : x
  2. Step 2: Convert to fraction form
    30,128.16/41,580.68 = 21,507.72/x
  3. Step 3: Cross multiply
    30,128.16x = 41,580.68 × 21,507.72
  4. Step 4: Simplify right side
    30,128.16x = 894,305,622.85
  5. Step 5: Solve for x
    x = 894,305,622.85/30,128.16
  6. Step 6: Final answer
    x = 29,683.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.