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Finding the Fourth Proportional to 82,691.15, 114,114.93 and 61,957.94

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Solution

The fourth proportional to 82,691.15, 114,114.93 and 61,957.94 is: 85,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,691.15 : 114,114.93 = 61,957.94 : x
  2. Step 2: Convert to fraction form
    82,691.15/114,114.93 = 61,957.94/x
  3. Step 3: Cross multiply
    82,691.15x = 114,114.93 × 61,957.94
  4. Step 4: Simplify right side
    82,691.15x = 7,070,325,504.08
  5. Step 5: Solve for x
    x = 7,070,325,504.08/82,691.15
  6. Step 6: Final answer
    x = 85,502.80

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Why These Related Problems?

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