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Finding the Fourth Proportional to 30,465.14, 42,042.15 and 16,852.95

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Solution

The fourth proportional to 30,465.14, 42,042.15 and 16,852.95 is: 23,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,465.14 : 42,042.15 = 16,852.95 : x
  2. Step 2: Convert to fraction form
    30,465.14/42,042.15 = 16,852.95/x
  3. Step 3: Cross multiply
    30,465.14x = 42,042.15 × 16,852.95
  4. Step 4: Simplify right side
    30,465.14x = 708,534,251.84
  5. Step 5: Solve for x
    x = 708,534,251.84/30,465.14
  6. Step 6: Final answer
    x = 23,257.22

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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.