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Finding the Fourth Proportional to 69,709.64, 96,199.12 and 37,878.54

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Solution

The fourth proportional to 69,709.64, 96,199.12 and 37,878.54 is: 52,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,709.64 : 96,199.12 = 37,878.54 : x
  2. Step 2: Convert to fraction form
    69,709.64/96,199.12 = 37,878.54/x
  3. Step 3: Cross multiply
    69,709.64x = 96,199.12 × 37,878.54
  4. Step 4: Simplify right side
    69,709.64x = 3,643,881,688.42
  5. Step 5: Solve for x
    x = 3,643,881,688.42/69,709.64
  6. Step 6: Final answer
    x = 52,272.28

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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.