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Finding the Fourth Proportional to 37,646.10, 56,465.19 and 15,461.82

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Solution

The fourth proportional to 37,646.10, 56,465.19 and 15,461.82 is: 23,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,646.10 : 56,465.19 = 15,461.82 : x
  2. Step 2: Convert to fraction form
    37,646.10/56,465.19 = 15,461.82/x
  3. Step 3: Cross multiply
    37,646.10x = 56,465.19 × 15,461.82
  4. Step 4: Simplify right side
    37,646.10x = 873,054,604.05
  5. Step 5: Solve for x
    x = 873,054,604.05/37,646.10
  6. Step 6: Final answer
    x = 23,191.10

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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.