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Finding the Fourth Proportional to 50,598, 69,825.28 and 28,242

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Solution

The fourth proportional to 50,598, 69,825.28 and 28,242 is: 38,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,598 : 69,825.28 = 28,242 : x
  2. Step 2: Convert to fraction form
    50,598/69,825.28 = 28,242/x
  3. Step 3: Cross multiply
    50,598x = 69,825.28 × 28,242
  4. Step 4: Simplify right side
    50,598x = 1,972,005,557.76
  5. Step 5: Solve for x
    x = 1,972,005,557.76/50,598
  6. Step 6: Final answer
    x = 38,973.98

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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.