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Finding the Fourth Proportional to 47,145.42, 65,026.74 and 32,011.80

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Solution

The fourth proportional to 47,145.42, 65,026.74 and 32,011.80 is: 44,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,145.42 : 65,026.74 = 32,011.80 : x
  2. Step 2: Convert to fraction form
    47,145.42/65,026.74 = 32,011.80/x
  3. Step 3: Cross multiply
    47,145.42x = 65,026.74 × 32,011.80
  4. Step 4: Simplify right side
    47,145.42x = 2,081,622,995.53
  5. Step 5: Solve for x
    x = 2,081,622,995.53/47,145.42
  6. Step 6: Final answer
    x = 44,153.24

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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.