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Finding the Fourth Proportional to 82,211.57, 113,461.53 and 68,389.48

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Solution

The fourth proportional to 82,211.57, 113,461.53 and 68,389.48 is: 94,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,211.57 : 113,461.53 = 68,389.48 : x
  2. Step 2: Convert to fraction form
    82,211.57/113,461.53 = 68,389.48/x
  3. Step 3: Cross multiply
    82,211.57x = 113,461.53 × 68,389.48
  4. Step 4: Simplify right side
    82,211.57x = 7,759,575,499.11
  5. Step 5: Solve for x
    x = 7,759,575,499.11/82,211.57
  6. Step 6: Final answer
    x = 94,385.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.