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Finding the Fourth Proportional to 82,827.95, 114,166.06 and 58,597.61

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Solution

The fourth proportional to 82,827.95, 114,166.06 and 58,597.61 is: 80,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,827.95 : 114,166.06 = 58,597.61 : x
  2. Step 2: Convert to fraction form
    82,827.95/114,166.06 = 58,597.61/x
  3. Step 3: Cross multiply
    82,827.95x = 114,166.06 × 58,597.61
  4. Step 4: Simplify right side
    82,827.95x = 6,689,857,541.79
  5. Step 5: Solve for x
    x = 6,689,857,541.79/82,827.95
  6. Step 6: Final answer
    x = 80,768.12

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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.