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Finding the Fourth Proportional to 50,509.49, 69,699.35 and 27,848.93

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Solution

The fourth proportional to 50,509.49, 69,699.35 and 27,848.93 is: 38,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.49 : 69,699.35 = 27,848.93 : x
  2. Step 2: Convert to fraction form
    50,509.49/69,699.35 = 27,848.93/x
  3. Step 3: Cross multiply
    50,509.49x = 69,699.35 × 27,848.93
  4. Step 4: Simplify right side
    50,509.49x = 1,941,052,040.32
  5. Step 5: Solve for x
    x = 1,941,052,040.32/50,509.49
  6. Step 6: Final answer
    x = 38,429.46

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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.