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Finding the Fourth Proportional to 45,865.64, 63,288.47 and 25,447.38

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Solution

The fourth proportional to 45,865.64, 63,288.47 and 25,447.38 is: 35,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,865.64 : 63,288.47 = 25,447.38 : x
  2. Step 2: Convert to fraction form
    45,865.64/63,288.47 = 25,447.38/x
  3. Step 3: Cross multiply
    45,865.64x = 63,288.47 × 25,447.38
  4. Step 4: Simplify right side
    45,865.64x = 1,610,525,428.85
  5. Step 5: Solve for x
    x = 1,610,525,428.85/45,865.64
  6. Step 6: Final answer
    x = 35,113.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.