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Finding the Fourth Proportional to 30,746.88, 42,408 and 21,189.84

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Solution

The fourth proportional to 30,746.88, 42,408 and 21,189.84 is: 29,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,746.88 : 42,408 = 21,189.84 : x
  2. Step 2: Convert to fraction form
    30,746.88/42,408 = 21,189.84/x
  3. Step 3: Cross multiply
    30,746.88x = 42,408 × 21,189.84
  4. Step 4: Simplify right side
    30,746.88x = 898,618,734.72
  5. Step 5: Solve for x
    x = 898,618,734.72/30,746.88
  6. Step 6: Final answer
    x = 29,226.34

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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.