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Finding the Fourth Proportional to 30,646.39, 45,946.22 and 15,845.87

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Solution

The fourth proportional to 30,646.39, 45,946.22 and 15,845.87 is: 23,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.39 : 45,946.22 = 15,845.87 : x
  2. Step 2: Convert to fraction form
    30,646.39/45,946.22 = 15,845.87/x
  3. Step 3: Cross multiply
    30,646.39x = 45,946.22 × 15,845.87
  4. Step 4: Simplify right side
    30,646.39x = 728,057,829.11
  5. Step 5: Solve for x
    x = 728,057,829.11/30,646.39
  6. Step 6: Final answer
    x = 23,756.72

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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.