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Finding the Fourth Proportional to 69,902.30, 96,461.84 and 39,683.51

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Solution

The fourth proportional to 69,902.30, 96,461.84 and 39,683.51 is: 54,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,902.30 : 96,461.84 = 39,683.51 : x
  2. Step 2: Convert to fraction form
    69,902.30/96,461.84 = 39,683.51/x
  3. Step 3: Cross multiply
    69,902.30x = 96,461.84 × 39,683.51
  4. Step 4: Simplify right side
    69,902.30x = 3,827,943,711.53
  5. Step 5: Solve for x
    x = 3,827,943,711.53/69,902.30
  6. Step 6: Final answer
    x = 54,761.35

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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.