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Finding the Fourth Proportional to 30,902.01, 42,647.41 and 17,475.65

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Solution

The fourth proportional to 30,902.01, 42,647.41 and 17,475.65 is: 24,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.01 : 42,647.41 = 17,475.65 : x
  2. Step 2: Convert to fraction form
    30,902.01/42,647.41 = 17,475.65/x
  3. Step 3: Cross multiply
    30,902.01x = 42,647.41 × 17,475.65
  4. Step 4: Simplify right side
    30,902.01x = 745,291,179.10
  5. Step 5: Solve for x
    x = 745,291,179.10/30,902.01
  6. Step 6: Final answer
    x = 24,117.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.