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Finding the Fourth Proportional to 29,732.84, 44,599.28 and 7,547.88

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Solution

The fourth proportional to 29,732.84, 44,599.28 and 7,547.88 is: 11,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,732.84 : 44,599.28 = 7,547.88 : x
  2. Step 2: Convert to fraction form
    29,732.84/44,599.28 = 7,547.88/x
  3. Step 3: Cross multiply
    29,732.84x = 44,599.28 × 7,547.88
  4. Step 4: Simplify right side
    29,732.84x = 336,630,013.53
  5. Step 5: Solve for x
    x = 336,630,013.53/29,732.84
  6. Step 6: Final answer
    x = 11,321.83

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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.