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Finding the Fourth Proportional to 84,093.93, 116,077.74 and 50,113.08

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Solution

The fourth proportional to 84,093.93, 116,077.74 and 50,113.08 is: 69,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,093.93 : 116,077.74 = 50,113.08 : x
  2. Step 2: Convert to fraction form
    84,093.93/116,077.74 = 50,113.08/x
  3. Step 3: Cross multiply
    84,093.93x = 116,077.74 × 50,113.08
  4. Step 4: Simplify right side
    84,093.93x = 5,817,013,070.84
  5. Step 5: Solve for x
    x = 5,817,013,070.84/84,093.93
  6. Step 6: Final answer
    x = 69,172.81

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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.