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Finding the Fourth Proportional to 30,502.98, 42,090.57 and 17,074.98

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Solution

The fourth proportional to 30,502.98, 42,090.57 and 17,074.98 is: 23,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,502.98 : 42,090.57 = 17,074.98 : x
  2. Step 2: Convert to fraction form
    30,502.98/42,090.57 = 17,074.98/x
  3. Step 3: Cross multiply
    30,502.98x = 42,090.57 × 17,074.98
  4. Step 4: Simplify right side
    30,502.98x = 718,695,640.94
  5. Step 5: Solve for x
    x = 718,695,640.94/30,502.98
  6. Step 6: Final answer
    x = 23,561.49

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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.