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Finding the Fourth Proportional to 55,296, 76,308.48 and 35,424

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Solution

The fourth proportional to 55,296, 76,308.48 and 35,424 is: 48,885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,296 : 76,308.48 = 35,424 : x
  2. Step 2: Convert to fraction form
    55,296/76,308.48 = 35,424/x
  3. Step 3: Cross multiply
    55,296x = 76,308.48 × 35,424
  4. Step 4: Simplify right side
    55,296x = 2,703,151,595.52
  5. Step 5: Solve for x
    x = 2,703,151,595.52/55,296
  6. Step 6: Final answer
    x = 48,885.12

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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.