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Finding the Fourth Proportional to 30,796.17, 42,498.74 and 16,649.01

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Solution

The fourth proportional to 30,796.17, 42,498.74 and 16,649.01 is: 22,975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.17 : 42,498.74 = 16,649.01 : x
  2. Step 2: Convert to fraction form
    30,796.17/42,498.74 = 16,649.01/x
  3. Step 3: Cross multiply
    30,796.17x = 42,498.74 × 16,649.01
  4. Step 4: Simplify right side
    30,796.17x = 707,561,988.87
  5. Step 5: Solve for x
    x = 707,561,988.87/30,796.17
  6. Step 6: Final answer
    x = 22,975.65

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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.