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Finding the Fourth Proportional to 35,518.50, 49,033.14 and 27,848.31

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Solution

The fourth proportional to 35,518.50, 49,033.14 and 27,848.31 is: 38,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,518.50 : 49,033.14 = 27,848.31 : x
  2. Step 2: Convert to fraction form
    35,518.50/49,033.14 = 27,848.31/x
  3. Step 3: Cross multiply
    35,518.50x = 49,033.14 × 27,848.31
  4. Step 4: Simplify right side
    35,518.50x = 1,365,490,082.99
  5. Step 5: Solve for x
    x = 1,365,490,082.99/35,518.50
  6. Step 6: Final answer
    x = 38,444.47

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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.