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Finding the Fourth Proportional to 38,289.08, 57,433.62 and 17,498

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Solution

The fourth proportional to 38,289.08, 57,433.62 and 17,498 is: 26,247

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,289.08 : 57,433.62 = 17,498 : x
  2. Step 2: Convert to fraction form
    38,289.08/57,433.62 = 17,498/x
  3. Step 3: Cross multiply
    38,289.08x = 57,433.62 × 17,498
  4. Step 4: Simplify right side
    38,289.08x = 1,004,973,482.76
  5. Step 5: Solve for x
    x = 1,004,973,482.76/38,289.08
  6. Step 6: Final answer
    x = 26,247

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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.