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Finding the Fourth Proportional to 61,972, 92,972.58 and 20,419

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Solution

The fourth proportional to 61,972, 92,972.58 and 20,419 is: 30,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,972 : 92,972.58 = 20,419 : x
  2. Step 2: Convert to fraction form
    61,972/92,972.58 = 20,419/x
  3. Step 3: Cross multiply
    61,972x = 92,972.58 × 20,419
  4. Step 4: Simplify right side
    61,972x = 1,898,407,111.02
  5. Step 5: Solve for x
    x = 1,898,407,111.02/61,972
  6. Step 6: Final answer
    x = 30,633.30

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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.