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Finding the Fourth Proportional to 55,019, 75,927.14 and 29,868.50

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Solution

The fourth proportional to 55,019, 75,927.14 and 29,868.50 is: 41,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,019 : 75,927.14 = 29,868.50 : x
  2. Step 2: Convert to fraction form
    55,019/75,927.14 = 29,868.50/x
  3. Step 3: Cross multiply
    55,019x = 75,927.14 × 29,868.50
  4. Step 4: Simplify right side
    55,019x = 2,267,829,781.09
  5. Step 5: Solve for x
    x = 2,267,829,781.09/55,019
  6. Step 6: Final answer
    x = 41,219.03

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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.