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Finding the Fourth Proportional to 37,646.90, 56,475.72 and 12,341

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Solution

The fourth proportional to 37,646.90, 56,475.72 and 12,341 is: 18,513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,646.90 : 56,475.72 = 12,341 : x
  2. Step 2: Convert to fraction form
    37,646.90/56,475.72 = 12,341/x
  3. Step 3: Cross multiply
    37,646.90x = 56,475.72 × 12,341
  4. Step 4: Simplify right side
    37,646.90x = 696,966,860.52
  5. Step 5: Solve for x
    x = 696,966,860.52/37,646.90
  6. Step 6: Final answer
    x = 18,513.26

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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.