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Finding the Fourth Proportional to 107,509.92, 161,266.50 and 37,391.64

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Solution

The fourth proportional to 107,509.92, 161,266.50 and 37,391.64 is: 56,088.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,509.92 : 161,266.50 = 37,391.64 : x
  2. Step 2: Convert to fraction form
    107,509.92/161,266.50 = 37,391.64/x
  3. Step 3: Cross multiply
    107,509.92x = 161,266.50 × 37,391.64
  4. Step 4: Simplify right side
    107,509.92x = 6,030,018,912.06
  5. Step 5: Solve for x
    x = 6,030,018,912.06/107,509.92
  6. Step 6: Final answer
    x = 56,088.02

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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.