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Finding the Fourth Proportional to 38,434.34, 57,624.29 and 17,075.33

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Solution

The fourth proportional to 38,434.34, 57,624.29 and 17,075.33 is: 25,600.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,434.34 : 57,624.29 = 17,075.33 : x
  2. Step 2: Convert to fraction form
    38,434.34/57,624.29 = 17,075.33/x
  3. Step 3: Cross multiply
    38,434.34x = 57,624.29 × 17,075.33
  4. Step 4: Simplify right side
    38,434.34x = 983,953,394.27
  5. Step 5: Solve for x
    x = 983,953,394.27/38,434.34
  6. Step 6: Final answer
    x = 25,600.89

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