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Finding the Fourth Proportional to 72,419.32, 99,833.94 and 50,843.38

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Solution

The fourth proportional to 72,419.32, 99,833.94 and 50,843.38 is: 70,090.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,419.32 : 99,833.94 = 50,843.38 : x
  2. Step 2: Convert to fraction form
    72,419.32/99,833.94 = 50,843.38/x
  3. Step 3: Cross multiply
    72,419.32x = 99,833.94 × 50,843.38
  4. Step 4: Simplify right side
    72,419.32x = 5,075,894,948.32
  5. Step 5: Solve for x
    x = 5,075,894,948.32/72,419.32
  6. Step 6: Final answer
    x = 70,090.34

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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.