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Finding the Fourth Proportional to 50,032, 69,047.90 and 28,522.26

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Solution

The fourth proportional to 50,032, 69,047.90 and 28,522.26 is: 39,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,032 : 69,047.90 = 28,522.26 : x
  2. Step 2: Convert to fraction form
    50,032/69,047.90 = 28,522.26/x
  3. Step 3: Cross multiply
    50,032x = 69,047.90 × 28,522.26
  4. Step 4: Simplify right side
    50,032x = 1,969,402,156.25
  5. Step 5: Solve for x
    x = 1,969,402,156.25/50,032
  6. Step 6: Final answer
    x = 39,362.85

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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.