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Finding the Fourth Proportional to 53,408.88, 80,117.91 and 13,965.93

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Solution

The fourth proportional to 53,408.88, 80,117.91 and 13,965.93 is: 20,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,408.88 : 80,117.91 = 13,965.93 : x
  2. Step 2: Convert to fraction form
    53,408.88/80,117.91 = 13,965.93/x
  3. Step 3: Cross multiply
    53,408.88x = 80,117.91 × 13,965.93
  4. Step 4: Simplify right side
    53,408.88x = 1,118,921,122.81
  5. Step 5: Solve for x
    x = 1,118,921,122.81/53,408.88
  6. Step 6: Final answer
    x = 20,950.10

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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.