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Finding the Fourth Proportional to 30,671.76, 46,017.35 and 10,949.88

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Solution

The fourth proportional to 30,671.76, 46,017.35 and 10,949.88 is: 16,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.76 : 46,017.35 = 10,949.88 : x
  2. Step 2: Convert to fraction form
    30,671.76/46,017.35 = 10,949.88/x
  3. Step 3: Cross multiply
    30,671.76x = 46,017.35 × 10,949.88
  4. Step 4: Simplify right side
    30,671.76x = 503,884,460.42
  5. Step 5: Solve for x
    x = 503,884,460.42/30,671.76
  6. Step 6: Final answer
    x = 16,428.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.