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Finding the Fourth Proportional to 30,031.64, 41,443.84 and 16,419.72

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Solution

The fourth proportional to 30,031.64, 41,443.84 and 16,419.72 is: 22,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,031.64 : 41,443.84 = 16,419.72 : x
  2. Step 2: Convert to fraction form
    30,031.64/41,443.84 = 16,419.72/x
  3. Step 3: Cross multiply
    30,031.64x = 41,443.84 × 16,419.72
  4. Step 4: Simplify right side
    30,031.64x = 680,496,248.52
  5. Step 5: Solve for x
    x = 680,496,248.52/30,031.64
  6. Step 6: Final answer
    x = 22,659.31

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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.