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Finding the Fourth Proportional to 55,460.32, 76,536.48 and 33,100

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Solution

The fourth proportional to 55,460.32, 76,536.48 and 33,100 is: 45,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,460.32 : 76,536.48 = 33,100 : x
  2. Step 2: Convert to fraction form
    55,460.32/76,536.48 = 33,100/x
  3. Step 3: Cross multiply
    55,460.32x = 76,536.48 × 33,100
  4. Step 4: Simplify right side
    55,460.32x = 2,533,357,488
  5. Step 5: Solve for x
    x = 2,533,357,488/55,460.32
  6. Step 6: Final answer
    x = 45,678.74

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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.