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Finding the Fourth Proportional to 30,031.64, 41,444.18 and 17,456.40

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Solution

The fourth proportional to 30,031.64, 41,444.18 and 17,456.40 is: 24,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,031.64 : 41,444.18 = 17,456.40 : x
  2. Step 2: Convert to fraction form
    30,031.64/41,444.18 = 17,456.40/x
  3. Step 3: Cross multiply
    30,031.64x = 41,444.18 × 17,456.40
  4. Step 4: Simplify right side
    30,031.64x = 723,466,183.75
  5. Step 5: Solve for x
    x = 723,466,183.75/30,031.64
  6. Step 6: Final answer
    x = 24,090.13

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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.