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Finding the Fourth Proportional to 38,412.40, 57,605.40 and 18,678.24

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Solution

The fourth proportional to 38,412.40, 57,605.40 and 18,678.24 is: 28,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,412.40 : 57,605.40 = 18,678.24 : x
  2. Step 2: Convert to fraction form
    38,412.40/57,605.40 = 18,678.24/x
  3. Step 3: Cross multiply
    38,412.40x = 57,605.40 × 18,678.24
  4. Step 4: Simplify right side
    38,412.40x = 1,075,967,486.50
  5. Step 5: Solve for x
    x = 1,075,967,486.50/38,412.40
  6. Step 6: Final answer
    x = 28,010.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.