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Finding the Fourth Proportional to 55,966.32, 77,233.32 and 30,815.76

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Solution

The fourth proportional to 55,966.32, 77,233.32 and 30,815.76 is: 42,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,966.32 : 77,233.32 = 30,815.76 : x
  2. Step 2: Convert to fraction form
    55,966.32/77,233.32 = 30,815.76/x
  3. Step 3: Cross multiply
    55,966.32x = 77,233.32 × 30,815.76
  4. Step 4: Simplify right side
    55,966.32x = 2,380,003,453.12
  5. Step 5: Solve for x
    x = 2,380,003,453.12/55,966.32
  6. Step 6: Final answer
    x = 42,525.64

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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.