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Finding the Fourth Proportional to 30,534.98, 42,139.10 and 17,105.95

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Solution

The fourth proportional to 30,534.98, 42,139.10 and 17,105.95 is: 23,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.98 : 42,139.10 = 17,105.95 : x
  2. Step 2: Convert to fraction form
    30,534.98/42,139.10 = 17,105.95/x
  3. Step 3: Cross multiply
    30,534.98x = 42,139.10 × 17,105.95
  4. Step 4: Simplify right side
    30,534.98x = 720,829,291.39
  5. Step 5: Solve for x
    x = 720,829,291.39/30,534.98
  6. Step 6: Final answer
    x = 23,606.67

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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.