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Finding the Fourth Proportional to 37,102.15, 55,652.43 and 9,022.35

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Solution

The fourth proportional to 37,102.15, 55,652.43 and 9,022.35 is: 13,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.15 : 55,652.43 = 9,022.35 : x
  2. Step 2: Convert to fraction form
    37,102.15/55,652.43 = 9,022.35/x
  3. Step 3: Cross multiply
    37,102.15x = 55,652.43 × 9,022.35
  4. Step 4: Simplify right side
    37,102.15x = 502,115,701.81
  5. Step 5: Solve for x
    x = 502,115,701.81/37,102.15
  6. Step 6: Final answer
    x = 13,533.33

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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.