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Finding the Fourth Proportional to 29,408.64, 44,114.88 and 21,534.72

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Solution

The fourth proportional to 29,408.64, 44,114.88 and 21,534.72 is: 32,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,408.64 : 44,114.88 = 21,534.72 : x
  2. Step 2: Convert to fraction form
    29,408.64/44,114.88 = 21,534.72/x
  3. Step 3: Cross multiply
    29,408.64x = 44,114.88 × 21,534.72
  4. Step 4: Simplify right side
    29,408.64x = 950,001,588.63
  5. Step 5: Solve for x
    x = 950,001,588.63/29,408.64
  6. Step 6: Final answer
    x = 32,303.49

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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.