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Finding the Fourth Proportional to 47,204.20, 65,130.02 and 30,417

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Solution

The fourth proportional to 47,204.20, 65,130.02 and 30,417 is: 41,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,204.20 : 65,130.02 = 30,417 : x
  2. Step 2: Convert to fraction form
    47,204.20/65,130.02 = 30,417/x
  3. Step 3: Cross multiply
    47,204.20x = 65,130.02 × 30,417
  4. Step 4: Simplify right side
    47,204.20x = 1,981,059,818.34
  5. Step 5: Solve for x
    x = 1,981,059,818.34/47,204.20
  6. Step 6: Final answer
    x = 41,967.87

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