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Finding the Fourth Proportional to 51,193.47, 70,652.25 and 30,782.22

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Solution

The fourth proportional to 51,193.47, 70,652.25 and 30,782.22 is: 42,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,193.47 : 70,652.25 = 30,782.22 : x
  2. Step 2: Convert to fraction form
    51,193.47/70,652.25 = 30,782.22/x
  3. Step 3: Cross multiply
    51,193.47x = 70,652.25 × 30,782.22
  4. Step 4: Simplify right side
    51,193.47x = 2,174,833,103.00
  5. Step 5: Solve for x
    x = 2,174,833,103.00/51,193.47
  6. Step 6: Final answer
    x = 42,482.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.