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Finding the Fourth Proportional to 29,885.64, 44,828.46 and 10,178.34

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Solution

The fourth proportional to 29,885.64, 44,828.46 and 10,178.34 is: 15,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,885.64 : 44,828.46 = 10,178.34 : x
  2. Step 2: Convert to fraction form
    29,885.64/44,828.46 = 10,178.34/x
  3. Step 3: Cross multiply
    29,885.64x = 44,828.46 × 10,178.34
  4. Step 4: Simplify right side
    29,885.64x = 456,279,307.56
  5. Step 5: Solve for x
    x = 456,279,307.56/29,885.64
  6. Step 6: Final answer
    x = 15,267.51

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