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Finding the Fourth Proportional to 69,706.74, 96,195.08 and 37,875.77

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Solution

The fourth proportional to 69,706.74, 96,195.08 and 37,875.77 is: 52,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,706.74 : 96,195.08 = 37,875.77 : x
  2. Step 2: Convert to fraction form
    69,706.74/96,195.08 = 37,875.77/x
  3. Step 3: Cross multiply
    69,706.74x = 96,195.08 × 37,875.77
  4. Step 4: Simplify right side
    69,706.74x = 3,643,462,054.86
  5. Step 5: Solve for x
    x = 3,643,462,054.86/69,706.74
  6. Step 6: Final answer
    x = 52,268.43

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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.