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Finding the Fourth Proportional to 30,407.28, 41,956.44 and 20,972.40

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Solution

The fourth proportional to 30,407.28, 41,956.44 and 20,972.40 is: 28,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407.28 : 41,956.44 = 20,972.40 : x
  2. Step 2: Convert to fraction form
    30,407.28/41,956.44 = 20,972.40/x
  3. Step 3: Cross multiply
    30,407.28x = 41,956.44 × 20,972.40
  4. Step 4: Simplify right side
    30,407.28x = 879,927,242.26
  5. Step 5: Solve for x
    x = 879,927,242.26/30,407.28
  6. Step 6: Final answer
    x = 28,938.05

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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.