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Finding the Fourth Proportional to 43,463.51, 65,200.43 and 15,377.77

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Solution

The fourth proportional to 43,463.51, 65,200.43 and 15,377.77 is: 23,068.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,463.51 : 65,200.43 = 15,377.77 : x
  2. Step 2: Convert to fraction form
    43,463.51/65,200.43 = 15,377.77/x
  3. Step 3: Cross multiply
    43,463.51x = 65,200.43 × 15,377.77
  4. Step 4: Simplify right side
    43,463.51x = 1,002,637,216.44
  5. Step 5: Solve for x
    x = 1,002,637,216.44/43,463.51
  6. Step 6: Final answer
    x = 23,068.48

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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.