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Finding the Fourth Proportional to 55,739.84, 83,543.84 and 24,509.76

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Solution

The fourth proportional to 55,739.84, 83,543.84 and 24,509.76 is: 36,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,739.84 : 83,543.84 = 24,509.76 : x
  2. Step 2: Convert to fraction form
    55,739.84/83,543.84 = 24,509.76/x
  3. Step 3: Cross multiply
    55,739.84x = 83,543.84 × 24,509.76
  4. Step 4: Simplify right side
    55,739.84x = 2,047,639,467.88
  5. Step 5: Solve for x
    x = 2,047,639,467.88/55,739.84
  6. Step 6: Final answer
    x = 36,735.65

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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.