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Finding the Fourth Proportional to 54,750.86, 75,529.87 and 32,075.77

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Solution

The fourth proportional to 54,750.86, 75,529.87 and 32,075.77 is: 44,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,750.86 : 75,529.87 = 32,075.77 : x
  2. Step 2: Convert to fraction form
    54,750.86/75,529.87 = 32,075.77/x
  3. Step 3: Cross multiply
    54,750.86x = 75,529.87 × 32,075.77
  4. Step 4: Simplify right side
    54,750.86x = 2,422,678,823.28
  5. Step 5: Solve for x
    x = 2,422,678,823.28/54,750.86
  6. Step 6: Final answer
    x = 44,249.15

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Why These Related Problems?

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