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Finding the Fourth Proportional to 30,050.82, 45,074.07 and 13,412.34

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Solution

The fourth proportional to 30,050.82, 45,074.07 and 13,412.34 is: 20,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,050.82 : 45,074.07 = 13,412.34 : x
  2. Step 2: Convert to fraction form
    30,050.82/45,074.07 = 13,412.34/x
  3. Step 3: Cross multiply
    30,050.82x = 45,074.07 × 13,412.34
  4. Step 4: Simplify right side
    30,050.82x = 604,548,752.02
  5. Step 5: Solve for x
    x = 604,548,752.02/30,050.82
  6. Step 6: Final answer
    x = 20,117.55

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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.