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Finding the Fourth Proportional to 55,378.64, 76,423.32 and 30,227.60

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Solution

The fourth proportional to 55,378.64, 76,423.32 and 30,227.60 is: 41,714.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,378.64 : 76,423.32 = 30,227.60 : x
  2. Step 2: Convert to fraction form
    55,378.64/76,423.32 = 30,227.60/x
  3. Step 3: Cross multiply
    55,378.64x = 76,423.32 × 30,227.60
  4. Step 4: Simplify right side
    55,378.64x = 2,310,093,547.63
  5. Step 5: Solve for x
    x = 2,310,093,547.63/55,378.64
  6. Step 6: Final answer
    x = 41,714.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.