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Finding the Fourth Proportional to 85,706.50, 128,558.38 and 28,784.36

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Solution

The fourth proportional to 85,706.50, 128,558.38 and 28,784.36 is: 43,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,706.50 : 128,558.38 = 28,784.36 : x
  2. Step 2: Convert to fraction form
    85,706.50/128,558.38 = 28,784.36/x
  3. Step 3: Cross multiply
    85,706.50x = 128,558.38 × 28,784.36
  4. Step 4: Simplify right side
    85,706.50x = 3,700,470,690.94
  5. Step 5: Solve for x
    x = 3,700,470,690.94/85,706.50
  6. Step 6: Final answer
    x = 43,176.08

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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.