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Finding the Fourth Proportional to 53,303.82, 79,942.02 and 15,854.22

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Solution

The fourth proportional to 53,303.82, 79,942.02 and 15,854.22 is: 23,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,303.82 : 79,942.02 = 15,854.22 : x
  2. Step 2: Convert to fraction form
    53,303.82/79,942.02 = 15,854.22/x
  3. Step 3: Cross multiply
    53,303.82x = 79,942.02 × 15,854.22
  4. Step 4: Simplify right side
    53,303.82x = 1,267,418,372.32
  5. Step 5: Solve for x
    x = 1,267,418,372.32/53,303.82
  6. Step 6: Final answer
    x = 23,777.25

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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.