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Finding the Fourth Proportional to 55,297.04, 76,309.86 and 30,146.54

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Solution

The fourth proportional to 55,297.04, 76,309.86 and 30,146.54 is: 41,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,297.04 : 76,309.86 = 30,146.54 : x
  2. Step 2: Convert to fraction form
    55,297.04/76,309.86 = 30,146.54/x
  3. Step 3: Cross multiply
    55,297.04x = 76,309.86 × 30,146.54
  4. Step 4: Simplify right side
    55,297.04x = 2,300,477,978.38
  5. Step 5: Solve for x
    x = 2,300,477,978.38/55,297.04
  6. Step 6: Final answer
    x = 41,602.19

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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.