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Finding the Fourth Proportional to 37,464.37, 56,188.93 and 13,763.77

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Solution

The fourth proportional to 37,464.37, 56,188.93 and 13,763.77 is: 20,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,464.37 : 56,188.93 = 13,763.77 : x
  2. Step 2: Convert to fraction form
    37,464.37/56,188.93 = 13,763.77/x
  3. Step 3: Cross multiply
    37,464.37x = 56,188.93 × 13,763.77
  4. Step 4: Simplify right side
    37,464.37x = 773,371,509.07
  5. Step 5: Solve for x
    x = 773,371,509.07/37,464.37
  6. Step 6: Final answer
    x = 20,642.85

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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.