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Finding the Fourth Proportional to 69,647.63, 96,111.14 and 37,815.84

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Solution

The fourth proportional to 69,647.63, 96,111.14 and 37,815.84 is: 52,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,647.63 : 96,111.14 = 37,815.84 : x
  2. Step 2: Convert to fraction form
    69,647.63/96,111.14 = 37,815.84/x
  3. Step 3: Cross multiply
    69,647.63x = 96,111.14 × 37,815.84
  4. Step 4: Simplify right side
    69,647.63x = 3,634,523,303.38
  5. Step 5: Solve for x
    x = 3,634,523,303.38/69,647.63
  6. Step 6: Final answer
    x = 52,184.45

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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.