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Finding the Fourth Proportional to 53,739.65, 80,608.10 and 14,297.10

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Solution

The fourth proportional to 53,739.65, 80,608.10 and 14,297.10 is: 21,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,739.65 : 80,608.10 = 14,297.10 : x
  2. Step 2: Convert to fraction form
    53,739.65/80,608.10 = 14,297.10/x
  3. Step 3: Cross multiply
    53,739.65x = 80,608.10 × 14,297.10
  4. Step 4: Simplify right side
    53,739.65x = 1,152,462,066.51
  5. Step 5: Solve for x
    x = 1,152,462,066.51/53,739.65
  6. Step 6: Final answer
    x = 21,445.29

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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.