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Finding the Fourth Proportional to 30,432.94, 45,647.86 and 10,711.66

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Solution

The fourth proportional to 30,432.94, 45,647.86 and 10,711.66 is: 16,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,432.94 : 45,647.86 = 10,711.66 : x
  2. Step 2: Convert to fraction form
    30,432.94/45,647.86 = 10,711.66/x
  3. Step 3: Cross multiply
    30,432.94x = 45,647.86 × 10,711.66
  4. Step 4: Simplify right side
    30,432.94x = 488,964,356.05
  5. Step 5: Solve for x
    x = 488,964,356.05/30,432.94
  6. Step 6: Final answer
    x = 16,066.94

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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.