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Finding the Fourth Proportional to 48,783.45, 67,322.49 and 27,562.26

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Solution

The fourth proportional to 48,783.45, 67,322.49 and 27,562.26 is: 38,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,783.45 : 67,322.49 = 27,562.26 : x
  2. Step 2: Convert to fraction form
    48,783.45/67,322.49 = 27,562.26/x
  3. Step 3: Cross multiply
    48,783.45x = 67,322.49 × 27,562.26
  4. Step 4: Simplify right side
    48,783.45x = 1,855,559,973.23
  5. Step 5: Solve for x
    x = 1,855,559,973.23/48,783.45
  6. Step 6: Final answer
    x = 38,036.67

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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.