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Finding the Fourth Proportional to 30,594.42, 45,886.17 and 19,468.08

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Solution

The fourth proportional to 30,594.42, 45,886.17 and 19,468.08 is: 29,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.42 : 45,886.17 = 19,468.08 : x
  2. Step 2: Convert to fraction form
    30,594.42/45,886.17 = 19,468.08/x
  3. Step 3: Cross multiply
    30,594.42x = 45,886.17 × 19,468.08
  4. Step 4: Simplify right side
    30,594.42x = 893,315,628.45
  5. Step 5: Solve for x
    x = 893,315,628.45/30,594.42
  6. Step 6: Final answer
    x = 29,198.65

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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.