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Finding the Fourth Proportional to 30,032.64, 41,446.08 and 17,460

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Solution

The fourth proportional to 30,032.64, 41,446.08 and 17,460 is: 24,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032.64 : 41,446.08 = 17,460 : x
  2. Step 2: Convert to fraction form
    30,032.64/41,446.08 = 17,460/x
  3. Step 3: Cross multiply
    30,032.64x = 41,446.08 × 17,460
  4. Step 4: Simplify right side
    30,032.64x = 723,648,556.80
  5. Step 5: Solve for x
    x = 723,648,556.80/30,032.64
  6. Step 6: Final answer
    x = 24,095.40

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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.