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Finding the Fourth Proportional to 38,002.77, 52,442.79 and 21,005.82

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Solution

The fourth proportional to 38,002.77, 52,442.79 and 21,005.82 is: 28,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,002.77 : 52,442.79 = 21,005.82 : x
  2. Step 2: Convert to fraction form
    38,002.77/52,442.79 = 21,005.82/x
  3. Step 3: Cross multiply
    38,002.77x = 52,442.79 × 21,005.82
  4. Step 4: Simplify right side
    38,002.77x = 1,101,603,807.04
  5. Step 5: Solve for x
    x = 1,101,603,807.04/38,002.77
  6. Step 6: Final answer
    x = 28,987.46

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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.