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Finding the Fourth Proportional to 82,058.82, 123,103.66 and 56,520.93

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Solution

The fourth proportional to 82,058.82, 123,103.66 and 56,520.93 is: 84,792.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,058.82 : 123,103.66 = 56,520.93 : x
  2. Step 2: Convert to fraction form
    82,058.82/123,103.66 = 56,520.93/x
  3. Step 3: Cross multiply
    82,058.82x = 123,103.66 × 56,520.93
  4. Step 4: Simplify right side
    82,058.82x = 6,957,933,349.60
  5. Step 5: Solve for x
    x = 6,957,933,349.60/82,058.82
  6. Step 6: Final answer
    x = 84,792.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.