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Finding the Fourth Proportional to 50,649.06, 75,973.47 and 13,713.06

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Solution

The fourth proportional to 50,649.06, 75,973.47 and 13,713.06 is: 20,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,649.06 : 75,973.47 = 13,713.06 : x
  2. Step 2: Convert to fraction form
    50,649.06/75,973.47 = 13,713.06/x
  3. Step 3: Cross multiply
    50,649.06x = 75,973.47 × 13,713.06
  4. Step 4: Simplify right side
    50,649.06x = 1,041,828,752.52
  5. Step 5: Solve for x
    x = 1,041,828,752.52/50,649.06
  6. Step 6: Final answer
    x = 20,569.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.