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Finding the Fourth Proportional to 85,585.50, 128,346.77 and 29,409.66

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Solution

The fourth proportional to 85,585.50, 128,346.77 and 29,409.66 is: 44,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,585.50 : 128,346.77 = 29,409.66 : x
  2. Step 2: Convert to fraction form
    85,585.50/128,346.77 = 29,409.66/x
  3. Step 3: Cross multiply
    85,585.50x = 128,346.77 × 29,409.66
  4. Step 4: Simplify right side
    85,585.50x = 3,774,634,720.75
  5. Step 5: Solve for x
    x = 3,774,634,720.75/85,585.50
  6. Step 6: Final answer
    x = 44,103.67

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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.