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Finding the Fourth Proportional to 55,506.84, 83,254.86 and 30,538.68

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Solution

The fourth proportional to 55,506.84, 83,254.86 and 30,538.68 is: 45,805.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,506.84 : 83,254.86 = 30,538.68 : x
  2. Step 2: Convert to fraction form
    55,506.84/83,254.86 = 30,538.68/x
  3. Step 3: Cross multiply
    55,506.84x = 83,254.86 × 30,538.68
  4. Step 4: Simplify right side
    55,506.84x = 2,542,493,527.98
  5. Step 5: Solve for x
    x = 2,542,493,527.98/55,506.84
  6. Step 6: Final answer
    x = 45,805.05

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1.5x scale

Why These Related Problems?

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