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Finding the Fourth Proportional to 37,507.60, 56,233.32 and 12,533.16

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Solution

The fourth proportional to 37,507.60, 56,233.32 and 12,533.16 is: 18,790.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,507.60 : 56,233.32 = 12,533.16 : x
  2. Step 2: Convert to fraction form
    37,507.60/56,233.32 = 12,533.16/x
  3. Step 3: Cross multiply
    37,507.60x = 56,233.32 × 12,533.16
  4. Step 4: Simplify right side
    37,507.60x = 704,781,196.89
  5. Step 5: Solve for x
    x = 704,781,196.89/37,507.60
  6. Step 6: Final answer
    x = 18,790.36

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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.