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Finding the Fourth Proportional to 29,597.05, 44,394 and 10,875.64

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Solution

The fourth proportional to 29,597.05, 44,394 and 10,875.64 is: 16,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,597.05 : 44,394 = 10,875.64 : x
  2. Step 2: Convert to fraction form
    29,597.05/44,394 = 10,875.64/x
  3. Step 3: Cross multiply
    29,597.05x = 44,394 × 10,875.64
  4. Step 4: Simplify right side
    29,597.05x = 482,813,162.16
  5. Step 5: Solve for x
    x = 482,813,162.16/29,597.05
  6. Step 6: Final answer
    x = 16,312.88

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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.