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Finding the Fourth Proportional to 30,076.68, 41,508.54 and 17,499

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Solution

The fourth proportional to 30,076.68, 41,508.54 and 17,499 is: 24,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,076.68 : 41,508.54 = 17,499 : x
  2. Step 2: Convert to fraction form
    30,076.68/41,508.54 = 17,499/x
  3. Step 3: Cross multiply
    30,076.68x = 41,508.54 × 17,499
  4. Step 4: Simplify right side
    30,076.68x = 726,357,941.46
  5. Step 5: Solve for x
    x = 726,357,941.46/30,076.68
  6. Step 6: Final answer
    x = 24,150.20

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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.