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Finding the Fourth Proportional to 50,424.96, 75,637.44 and 13,488

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Solution

The fourth proportional to 50,424.96, 75,637.44 and 13,488 is: 20,232

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,424.96 : 75,637.44 = 13,488 : x
  2. Step 2: Convert to fraction form
    50,424.96/75,637.44 = 13,488/x
  3. Step 3: Cross multiply
    50,424.96x = 75,637.44 × 13,488
  4. Step 4: Simplify right side
    50,424.96x = 1,020,197,790.72
  5. Step 5: Solve for x
    x = 1,020,197,790.72/50,424.96
  6. Step 6: Final answer
    x = 20,232

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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.