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Finding the Fourth Proportional to 55,820.94, 83,802.48 and 36,181.68

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Solution

The fourth proportional to 55,820.94, 83,802.48 and 36,181.68 is: 54,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,820.94 : 83,802.48 = 36,181.68 : x
  2. Step 2: Convert to fraction form
    55,820.94/83,802.48 = 36,181.68/x
  3. Step 3: Cross multiply
    55,820.94x = 83,802.48 × 36,181.68
  4. Step 4: Simplify right side
    55,820.94x = 3,032,114,095.55
  5. Step 5: Solve for x
    x = 3,032,114,095.55/55,820.94
  6. Step 6: Final answer
    x = 54,318.58

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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.