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Finding the Fourth Proportional to 37,334.08, 56,002.08 and 10,684

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Solution

The fourth proportional to 37,334.08, 56,002.08 and 10,684 is: 16,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,334.08 : 56,002.08 = 10,684 : x
  2. Step 2: Convert to fraction form
    37,334.08/56,002.08 = 10,684/x
  3. Step 3: Cross multiply
    37,334.08x = 56,002.08 × 10,684
  4. Step 4: Simplify right side
    37,334.08x = 598,326,222.72
  5. Step 5: Solve for x
    x = 598,326,222.72/37,334.08
  6. Step 6: Final answer
    x = 16,026.27

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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.