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Finding the Fourth Proportional to 30,438.34, 45,669.62 and 11,713.35

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Solution

The fourth proportional to 30,438.34, 45,669.62 and 11,713.35 is: 17,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.34 : 45,669.62 = 11,713.35 : x
  2. Step 2: Convert to fraction form
    30,438.34/45,669.62 = 11,713.35/x
  3. Step 3: Cross multiply
    30,438.34x = 45,669.62 × 11,713.35
  4. Step 4: Simplify right side
    30,438.34x = 534,944,143.15
  5. Step 5: Solve for x
    x = 534,944,143.15/30,438.34
  6. Step 6: Final answer
    x = 17,574.68

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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.