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Finding the Fourth Proportional to 42,506.83, 58,566.41 and 28,142.29

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Solution

The fourth proportional to 42,506.83, 58,566.41 and 28,142.29 is: 38,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,506.83 : 58,566.41 = 28,142.29 : x
  2. Step 2: Convert to fraction form
    42,506.83/58,566.41 = 28,142.29/x
  3. Step 3: Cross multiply
    42,506.83x = 58,566.41 × 28,142.29
  4. Step 4: Simplify right side
    42,506.83x = 1,648,192,753.77
  5. Step 5: Solve for x
    x = 1,648,192,753.77/42,506.83
  6. Step 6: Final answer
    x = 38,774.77

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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.