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Finding the Fourth Proportional to 107,641.72, 161,498.90 and 47,662.01

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Solution

The fourth proportional to 107,641.72, 161,498.90 and 47,662.01 is: 71,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,641.72 : 161,498.90 = 47,662.01 : x
  2. Step 2: Convert to fraction form
    107,641.72/161,498.90 = 47,662.01/x
  3. Step 3: Cross multiply
    107,641.72x = 161,498.90 × 47,662.01
  4. Step 4: Simplify right side
    107,641.72x = 7,697,361,319.72
  5. Step 5: Solve for x
    x = 7,697,361,319.72/107,641.72
  6. Step 6: Final answer
    x = 71,509.09

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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.