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Finding the Fourth Proportional to 52,802.66, 79,203.26 and 12,821.96

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Solution

The fourth proportional to 52,802.66, 79,203.26 and 12,821.96 is: 19,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,802.66 : 79,203.26 = 12,821.96 : x
  2. Step 2: Convert to fraction form
    52,802.66/79,203.26 = 12,821.96/x
  3. Step 3: Cross multiply
    52,802.66x = 79,203.26 × 12,821.96
  4. Step 4: Simplify right side
    52,802.66x = 1,015,541,261.65
  5. Step 5: Solve for x
    x = 1,015,541,261.65/52,802.66
  6. Step 6: Final answer
    x = 19,232.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.