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Finding the Fourth Proportional to 55,676.76, 76,832.34 and 31,802.94

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Solution

The fourth proportional to 55,676.76, 76,832.34 and 31,802.94 is: 43,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,676.76 : 76,832.34 = 31,802.94 : x
  2. Step 2: Convert to fraction form
    55,676.76/76,832.34 = 31,802.94/x
  3. Step 3: Cross multiply
    55,676.76x = 76,832.34 × 31,802.94
  4. Step 4: Simplify right side
    55,676.76x = 2,443,494,299.08
  5. Step 5: Solve for x
    x = 2,443,494,299.08/55,676.76
  6. Step 6: Final answer
    x = 43,887.15

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1.5x scale

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.