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Finding the Fourth Proportional to 52,878.98, 72,971.74 and 29,005.44

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Solution

The fourth proportional to 52,878.98, 72,971.74 and 29,005.44 is: 40,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,878.98 : 72,971.74 = 29,005.44 : x
  2. Step 2: Convert to fraction form
    52,878.98/72,971.74 = 29,005.44/x
  3. Step 3: Cross multiply
    52,878.98x = 72,971.74 × 29,005.44
  4. Step 4: Simplify right side
    52,878.98x = 2,116,577,426.27
  5. Step 5: Solve for x
    x = 2,116,577,426.27/52,878.98
  6. Step 6: Final answer
    x = 40,026.82

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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.