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Finding the Fourth Proportional to 55,446, 76,518.21 and 31,574.90

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Solution

The fourth proportional to 55,446, 76,518.21 and 31,574.90 is: 43,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,446 : 76,518.21 = 31,574.90 : x
  2. Step 2: Convert to fraction form
    55,446/76,518.21 = 31,574.90/x
  3. Step 3: Cross multiply
    55,446x = 76,518.21 × 31,574.90
  4. Step 4: Simplify right side
    55,446x = 2,416,054,446.34
  5. Step 5: Solve for x
    x = 2,416,054,446.34/55,446
  6. Step 6: Final answer
    x = 43,574.91

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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.