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Finding the Fourth Proportional to 37,658.86, 56,444.46 and 27,706

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Solution

The fourth proportional to 37,658.86, 56,444.46 and 27,706 is: 41,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658.86 : 56,444.46 = 27,706 : x
  2. Step 2: Convert to fraction form
    37,658.86/56,444.46 = 27,706/x
  3. Step 3: Cross multiply
    37,658.86x = 56,444.46 × 27,706
  4. Step 4: Simplify right side
    37,658.86x = 1,563,850,208.76
  5. Step 5: Solve for x
    x = 1,563,850,208.76/37,658.86
  6. Step 6: Final answer
    x = 41,526.75

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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.