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Finding the Fourth Proportional to 52,955.83, 73,079.55 and 29,083

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Solution

The fourth proportional to 52,955.83, 73,079.55 and 29,083 is: 40,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,955.83 : 73,079.55 = 29,083 : x
  2. Step 2: Convert to fraction form
    52,955.83/73,079.55 = 29,083/x
  3. Step 3: Cross multiply
    52,955.83x = 73,079.55 × 29,083
  4. Step 4: Simplify right side
    52,955.83x = 2,125,372,552.65
  5. Step 5: Solve for x
    x = 2,125,372,552.65/52,955.83
  6. Step 6: Final answer
    x = 40,134.82

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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.