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Finding the Fourth Proportional to 85,734.74, 128,610.56 and 29,567.50

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Solution

The fourth proportional to 85,734.74, 128,610.56 and 29,567.50 is: 44,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,734.74 : 128,610.56 = 29,567.50 : x
  2. Step 2: Convert to fraction form
    85,734.74/128,610.56 = 29,567.50/x
  3. Step 3: Cross multiply
    85,734.74x = 128,610.56 × 29,567.50
  4. Step 4: Simplify right side
    85,734.74x = 3,802,692,485.19
  5. Step 5: Solve for x
    x = 3,802,692,485.19/85,734.74
  6. Step 6: Final answer
    x = 44,354.16

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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.