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Finding the Fourth Proportional to 48,782.16, 73,173.60 and 13,725.36

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Solution

The fourth proportional to 48,782.16, 73,173.60 and 13,725.36 is: 20,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,782.16 : 73,173.60 = 13,725.36 : x
  2. Step 2: Convert to fraction form
    48,782.16/73,173.60 = 13,725.36/x
  3. Step 3: Cross multiply
    48,782.16x = 73,173.60 × 13,725.36
  4. Step 4: Simplify right side
    48,782.16x = 1,004,334,002.50
  5. Step 5: Solve for x
    x = 1,004,334,002.50/48,782.16
  6. Step 6: Final answer
    x = 20,588.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.