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Finding the Fourth Proportional to 85,471.89, 128,209.48 and 26,307.50

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Solution

The fourth proportional to 85,471.89, 128,209.48 and 26,307.50 is: 39,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,471.89 : 128,209.48 = 26,307.50 : x
  2. Step 2: Convert to fraction form
    85,471.89/128,209.48 = 26,307.50/x
  3. Step 3: Cross multiply
    85,471.89x = 128,209.48 × 26,307.50
  4. Step 4: Simplify right side
    85,471.89x = 3,372,870,895.10
  5. Step 5: Solve for x
    x = 3,372,870,895.10/85,471.89
  6. Step 6: Final answer
    x = 39,461.76

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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.