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Finding the Fourth Proportional to 30,292, 41,714.76 and 23,566.30

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Solution

The fourth proportional to 30,292, 41,714.76 and 23,566.30 is: 32,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292 : 41,714.76 = 23,566.30 : x
  2. Step 2: Convert to fraction form
    30,292/41,714.76 = 23,566.30/x
  3. Step 3: Cross multiply
    30,292x = 41,714.76 × 23,566.30
  4. Step 4: Simplify right side
    30,292x = 983,062,548.59
  5. Step 5: Solve for x
    x = 983,062,548.59/30,292
  6. Step 6: Final answer
    x = 32,452.88

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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.