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Finding the Fourth Proportional to 55,855.84, 77,080.16 and 30,704.80

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Solution

The fourth proportional to 55,855.84, 77,080.16 and 30,704.80 is: 42,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,855.84 : 77,080.16 = 30,704.80 : x
  2. Step 2: Convert to fraction form
    55,855.84/77,080.16 = 30,704.80/x
  3. Step 3: Cross multiply
    55,855.84x = 77,080.16 × 30,704.80
  4. Step 4: Simplify right side
    55,855.84x = 2,366,730,896.77
  5. Step 5: Solve for x
    x = 2,366,730,896.77/55,855.84
  6. Step 6: Final answer
    x = 42,372.13

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1.5x scale

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.