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Finding the Fourth Proportional to 45,824, 63,237.12 and 25,952

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Solution

The fourth proportional to 45,824, 63,237.12 and 25,952 is: 35,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,824 : 63,237.12 = 25,952 : x
  2. Step 2: Convert to fraction form
    45,824/63,237.12 = 25,952/x
  3. Step 3: Cross multiply
    45,824x = 63,237.12 × 25,952
  4. Step 4: Simplify right side
    45,824x = 1,641,129,738.24
  5. Step 5: Solve for x
    x = 1,641,129,738.24/45,824
  6. Step 6: Final answer
    x = 35,813.76

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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.