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Finding the Fourth Proportional to 30,484.62, 45,741.51 and 10,772.46

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Solution

The fourth proportional to 30,484.62, 45,741.51 and 10,772.46 is: 16,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,484.62 : 45,741.51 = 10,772.46 : x
  2. Step 2: Convert to fraction form
    30,484.62/45,741.51 = 10,772.46/x
  3. Step 3: Cross multiply
    30,484.62x = 45,741.51 × 10,772.46
  4. Step 4: Simplify right side
    30,484.62x = 492,748,701.17
  5. Step 5: Solve for x
    x = 492,748,701.17/30,484.62
  6. Step 6: Final answer
    x = 16,163.84

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Why These Related Problems?

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