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Finding the Fourth Proportional to 38,817.80, 53,574.23 and 21,823.45

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Solution

The fourth proportional to 38,817.80, 53,574.23 and 21,823.45 is: 30,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,817.80 : 53,574.23 = 21,823.45 : x
  2. Step 2: Convert to fraction form
    38,817.80/53,574.23 = 21,823.45/x
  3. Step 3: Cross multiply
    38,817.80x = 53,574.23 × 21,823.45
  4. Step 4: Simplify right side
    38,817.80x = 1,169,174,152.71
  5. Step 5: Solve for x
    x = 1,169,174,152.71/38,817.80
  6. Step 6: Final answer
    x = 30,119.54

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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.