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Finding the Fourth Proportional to 48,941.68, 73,412.48 and 13,881.64

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Solution

The fourth proportional to 48,941.68, 73,412.48 and 13,881.64 is: 20,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,941.68 : 73,412.48 = 13,881.64 : x
  2. Step 2: Convert to fraction form
    48,941.68/73,412.48 = 13,881.64/x
  3. Step 3: Cross multiply
    48,941.68x = 73,412.48 × 13,881.64
  4. Step 4: Simplify right side
    48,941.68x = 1,019,085,618.87
  5. Step 5: Solve for x
    x = 1,019,085,618.87/48,941.68
  6. Step 6: Final answer
    x = 20,822.45

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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.