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Finding the Fourth Proportional to 55,316.32, 76,335.84 and 30,165.76

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Solution

The fourth proportional to 55,316.32, 76,335.84 and 30,165.76 is: 41,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,316.32 : 76,335.84 = 30,165.76 : x
  2. Step 2: Convert to fraction form
    55,316.32/76,335.84 = 30,165.76/x
  3. Step 3: Cross multiply
    55,316.32x = 76,335.84 × 30,165.76
  4. Step 4: Simplify right side
    55,316.32x = 2,302,728,628.84
  5. Step 5: Solve for x
    x = 2,302,728,628.84/55,316.32
  6. Step 6: Final answer
    x = 41,628.38

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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.