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Finding the Fourth Proportional to 30,434.46, 45,650.10 and 10,713.15

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Solution

The fourth proportional to 30,434.46, 45,650.10 and 10,713.15 is: 16,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.46 : 45,650.10 = 10,713.15 : x
  2. Step 2: Convert to fraction form
    30,434.46/45,650.10 = 10,713.15/x
  3. Step 3: Cross multiply
    30,434.46x = 45,650.10 × 10,713.15
  4. Step 4: Simplify right side
    30,434.46x = 489,056,368.82
  5. Step 5: Solve for x
    x = 489,056,368.82/30,434.46
  6. Step 6: Final answer
    x = 16,069.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.