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Finding the Fourth Proportional to 50,652.63, 75,973.19 and 13,713.75

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Solution

The fourth proportional to 50,652.63, 75,973.19 and 13,713.75 is: 20,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,652.63 : 75,973.19 = 13,713.75 : x
  2. Step 2: Convert to fraction form
    50,652.63/75,973.19 = 13,713.75/x
  3. Step 3: Cross multiply
    50,652.63x = 75,973.19 × 13,713.75
  4. Step 4: Simplify right side
    50,652.63x = 1,041,877,265.79
  5. Step 5: Solve for x
    x = 1,041,877,265.79/50,652.63
  6. Step 6: Final answer
    x = 20,569.07

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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.