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Finding the Fourth Proportional to 85,734.86, 128,610.86 and 29,567.57

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Solution

The fourth proportional to 85,734.86, 128,610.86 and 29,567.57 is: 44,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,734.86 : 128,610.86 = 29,567.57 : x
  2. Step 2: Convert to fraction form
    85,734.86/128,610.86 = 29,567.57/x
  3. Step 3: Cross multiply
    85,734.86x = 128,610.86 × 29,567.57
  4. Step 4: Simplify right side
    85,734.86x = 3,802,709,814.92
  5. Step 5: Solve for x
    x = 3,802,709,814.92/85,734.86
  6. Step 6: Final answer
    x = 44,354.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.