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Finding the Fourth Proportional to 38,426.49, 53,028.69 and 21,430.65

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Solution

The fourth proportional to 38,426.49, 53,028.69 and 21,430.65 is: 29,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,426.49 : 53,028.69 = 21,430.65 : x
  2. Step 2: Convert to fraction form
    38,426.49/53,028.69 = 21,430.65/x
  3. Step 3: Cross multiply
    38,426.49x = 53,028.69 × 21,430.65
  4. Step 4: Simplify right side
    38,426.49x = 1,136,439,295.35
  5. Step 5: Solve for x
    x = 1,136,439,295.35/38,426.49
  6. Step 6: Final answer
    x = 29,574.37

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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.