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Finding the Fourth Proportional to 30,530.96, 42,123.16 and 17,100.40

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Solution

The fourth proportional to 30,530.96, 42,123.16 and 17,100.40 is: 23,593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.96 : 42,123.16 = 17,100.40 : x
  2. Step 2: Convert to fraction form
    30,530.96/42,123.16 = 17,100.40/x
  3. Step 3: Cross multiply
    30,530.96x = 42,123.16 × 17,100.40
  4. Step 4: Simplify right side
    30,530.96x = 720,322,885.26
  5. Step 5: Solve for x
    x = 720,322,885.26/30,530.96
  6. Step 6: Final answer
    x = 23,593.19

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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.