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Finding the Fourth Proportional to 45,785.84, 63,180.96 and 25,640

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Solution

The fourth proportional to 45,785.84, 63,180.96 and 25,640 is: 35,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,785.84 : 63,180.96 = 25,640 : x
  2. Step 2: Convert to fraction form
    45,785.84/63,180.96 = 25,640/x
  3. Step 3: Cross multiply
    45,785.84x = 63,180.96 × 25,640
  4. Step 4: Simplify right side
    45,785.84x = 1,619,959,814.40
  5. Step 5: Solve for x
    x = 1,619,959,814.40/45,785.84
  6. Step 6: Final answer
    x = 35,381.24

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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.