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Finding the Fourth Proportional to 29,888.28, 44,842.10 and 14,307

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Solution

The fourth proportional to 29,888.28, 44,842.10 and 14,307 is: 21,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,888.28 : 44,842.10 = 14,307 : x
  2. Step 2: Convert to fraction form
    29,888.28/44,842.10 = 14,307/x
  3. Step 3: Cross multiply
    29,888.28x = 44,842.10 × 14,307
  4. Step 4: Simplify right side
    29,888.28x = 641,555,924.70
  5. Step 5: Solve for x
    x = 641,555,924.70/29,888.28
  6. Step 6: Final answer
    x = 21,465.13

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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.