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Finding the Fourth Proportional to 183,821.81, 275,699.90 and 48,886.64

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Solution

The fourth proportional to 183,821.81, 275,699.90 and 48,886.64 is: 73,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,821.81 : 275,699.90 = 48,886.64 : x
  2. Step 2: Convert to fraction form
    183,821.81/275,699.90 = 48,886.64/x
  3. Step 3: Cross multiply
    183,821.81x = 275,699.90 × 48,886.64
  4. Step 4: Simplify right side
    183,821.81x = 13,478,041,536.93
  5. Step 5: Solve for x
    x = 13,478,041,536.93/183,821.81
  6. Step 6: Final answer
    x = 73,321.23

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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.