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Finding the Fourth Proportional to 50,507.84, 69,703.20 and 28,152

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Solution

The fourth proportional to 50,507.84, 69,703.20 and 28,152 is: 38,851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,507.84 : 69,703.20 = 28,152 : x
  2. Step 2: Convert to fraction form
    50,507.84/69,703.20 = 28,152/x
  3. Step 3: Cross multiply
    50,507.84x = 69,703.20 × 28,152
  4. Step 4: Simplify right side
    50,507.84x = 1,962,284,486.40
  5. Step 5: Solve for x
    x = 1,962,284,486.40/50,507.84
  6. Step 6: Final answer
    x = 38,851.09

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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.