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Finding the Fourth Proportional to 37,647.90, 56,477.22 and 12,342

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Solution

The fourth proportional to 37,647.90, 56,477.22 and 12,342 is: 18,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,647.90 : 56,477.22 = 12,342 : x
  2. Step 2: Convert to fraction form
    37,647.90/56,477.22 = 12,342/x
  3. Step 3: Cross multiply
    37,647.90x = 56,477.22 × 12,342
  4. Step 4: Simplify right side
    37,647.90x = 697,041,849.24
  5. Step 5: Solve for x
    x = 697,041,849.24/37,647.90
  6. Step 6: Final answer
    x = 18,514.76

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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.