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Finding the Fourth Proportional to 45,803.52, 63,212.68 and 25,660

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Solution

The fourth proportional to 45,803.52, 63,212.68 and 25,660 is: 35,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,803.52 : 63,212.68 = 25,660 : x
  2. Step 2: Convert to fraction form
    45,803.52/63,212.68 = 25,660/x
  3. Step 3: Cross multiply
    45,803.52x = 63,212.68 × 25,660
  4. Step 4: Simplify right side
    45,803.52x = 1,622,037,368.80
  5. Step 5: Solve for x
    x = 1,622,037,368.80/45,803.52
  6. Step 6: Final answer
    x = 35,412.94

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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.