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Finding the Fourth Proportional to 34,056.51, 46,971.34 and 22,123.69

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Solution

The fourth proportional to 34,056.51, 46,971.34 and 22,123.69 is: 30,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,056.51 : 46,971.34 = 22,123.69 : x
  2. Step 2: Convert to fraction form
    34,056.51/46,971.34 = 22,123.69/x
  3. Step 3: Cross multiply
    34,056.51x = 46,971.34 × 22,123.69
  4. Step 4: Simplify right side
    34,056.51x = 1,039,179,365.04
  5. Step 5: Solve for x
    x = 1,039,179,365.04/34,056.51
  6. Step 6: Final answer
    x = 30,513.38

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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.