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Finding the Fourth Proportional to 55,307.84, 82,961.74 and 13,754.84

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Solution

The fourth proportional to 55,307.84, 82,961.74 and 13,754.84 is: 20,632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,307.84 : 82,961.74 = 13,754.84 : x
  2. Step 2: Convert to fraction form
    55,307.84/82,961.74 = 13,754.84/x
  3. Step 3: Cross multiply
    55,307.84x = 82,961.74 × 13,754.84
  4. Step 4: Simplify right side
    55,307.84x = 1,141,125,459.82
  5. Step 5: Solve for x
    x = 1,141,125,459.82/55,307.84
  6. Step 6: Final answer
    x = 20,632.26

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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.