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Finding the Fourth Proportional to 51,052.99, 70,442.80 and 29,828.16

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Solution

The fourth proportional to 51,052.99, 70,442.80 and 29,828.16 is: 41,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,052.99 : 70,442.80 = 29,828.16 : x
  2. Step 2: Convert to fraction form
    51,052.99/70,442.80 = 29,828.16/x
  3. Step 3: Cross multiply
    51,052.99x = 70,442.80 × 29,828.16
  4. Step 4: Simplify right side
    51,052.99x = 2,101,179,109.25
  5. Step 5: Solve for x
    x = 2,101,179,109.25/51,052.99
  6. Step 6: Final answer
    x = 41,156.83

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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.