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Finding the Fourth Proportional to 55,460.46, 76,536 and 30,309.96

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Solution

The fourth proportional to 55,460.46, 76,536 and 30,309.96 is: 41,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,460.46 : 76,536 = 30,309.96 : x
  2. Step 2: Convert to fraction form
    55,460.46/76,536 = 30,309.96/x
  3. Step 3: Cross multiply
    55,460.46x = 76,536 × 30,309.96
  4. Step 4: Simplify right side
    55,460.46x = 2,319,803,098.56
  5. Step 5: Solve for x
    x = 2,319,803,098.56/55,460.46
  6. Step 6: Final answer
    x = 41,828.05

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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.