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Finding the Fourth Proportional to 30,205.16, 45,293.66 and 11,488.68

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Solution

The fourth proportional to 30,205.16, 45,293.66 and 11,488.68 is: 17,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.16 : 45,293.66 = 11,488.68 : x
  2. Step 2: Convert to fraction form
    30,205.16/45,293.66 = 11,488.68/x
  3. Step 3: Cross multiply
    30,205.16x = 45,293.66 × 11,488.68
  4. Step 4: Simplify right side
    30,205.16x = 520,364,365.77
  5. Step 5: Solve for x
    x = 520,364,365.77/30,205.16
  6. Step 6: Final answer
    x = 17,227.66

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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.