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Finding the Fourth Proportional to 30,032.08, 41,446.80 and 17,456

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Solution

The fourth proportional to 30,032.08, 41,446.80 and 17,456 is: 24,090.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032.08 : 41,446.80 = 17,456 : x
  2. Step 2: Convert to fraction form
    30,032.08/41,446.80 = 17,456/x
  3. Step 3: Cross multiply
    30,032.08x = 41,446.80 × 17,456
  4. Step 4: Simplify right side
    30,032.08x = 723,495,340.80
  5. Step 5: Solve for x
    x = 723,495,340.80/30,032.08
  6. Step 6: Final answer
    x = 24,090.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.