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Finding the Fourth Proportional to 55,476.42, 83,314.86 and 51,026.07

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Solution

The fourth proportional to 55,476.42, 83,314.86 and 51,026.07 is: 76,631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,476.42 : 83,314.86 = 51,026.07 : x
  2. Step 2: Convert to fraction form
    55,476.42/83,314.86 = 51,026.07/x
  3. Step 3: Cross multiply
    55,476.42x = 83,314.86 × 51,026.07
  4. Step 4: Simplify right side
    55,476.42x = 4,251,229,878.40
  5. Step 5: Solve for x
    x = 4,251,229,878.40/55,476.42
  6. Step 6: Final answer
    x = 76,631.29

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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.