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Finding the Fourth Proportional to 110,285.34, 165,482.72 and 43,724

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Solution

The fourth proportional to 110,285.34, 165,482.72 and 43,724 is: 65,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,285.34 : 165,482.72 = 43,724 : x
  2. Step 2: Convert to fraction form
    110,285.34/165,482.72 = 43,724/x
  3. Step 3: Cross multiply
    110,285.34x = 165,482.72 × 43,724
  4. Step 4: Simplify right side
    110,285.34x = 7,235,566,449.28
  5. Step 5: Solve for x
    x = 7,235,566,449.28/110,285.34
  6. Step 6: Final answer
    x = 65,607.69

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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.