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Finding the Fourth Proportional to 37,782.40, 56,675.62 and 11,485.14

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Solution

The fourth proportional to 37,782.40, 56,675.62 and 11,485.14 is: 17,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782.40 : 56,675.62 = 11,485.14 : x
  2. Step 2: Convert to fraction form
    37,782.40/56,675.62 = 11,485.14/x
  3. Step 3: Cross multiply
    37,782.40x = 56,675.62 × 11,485.14
  4. Step 4: Simplify right side
    37,782.40x = 650,927,430.29
  5. Step 5: Solve for x
    x = 650,927,430.29/37,782.40
  6. Step 6: Final answer
    x = 17,228.32

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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.