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Finding the Fourth Proportional to 30,295.72, 45,434.32 and 14,492.42

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Solution

The fourth proportional to 30,295.72, 45,434.32 and 14,492.42 is: 21,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295.72 : 45,434.32 = 14,492.42 : x
  2. Step 2: Convert to fraction form
    30,295.72/45,434.32 = 14,492.42/x
  3. Step 3: Cross multiply
    30,295.72x = 45,434.32 × 14,492.42
  4. Step 4: Simplify right side
    30,295.72x = 658,453,154.83
  5. Step 5: Solve for x
    x = 658,453,154.83/30,295.72
  6. Step 6: Final answer
    x = 21,734.20

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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.