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Finding the Fourth Proportional to 29,598, 40,848.06 and 16,171.28

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Solution

The fourth proportional to 29,598, 40,848.06 and 16,171.28 is: 22,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,598 : 40,848.06 = 16,171.28 : x
  2. Step 2: Convert to fraction form
    29,598/40,848.06 = 16,171.28/x
  3. Step 3: Cross multiply
    29,598x = 40,848.06 × 16,171.28
  4. Step 4: Simplify right side
    29,598x = 660,565,415.72
  5. Step 5: Solve for x
    x = 660,565,415.72/29,598
  6. Step 6: Final answer
    x = 22,317.91

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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.