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Finding the Fourth Proportional to 41,506, 62,258.79 and 19,307.14

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Solution

The fourth proportional to 41,506, 62,258.79 and 19,307.14 is: 28,960.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,506 : 62,258.79 = 19,307.14 : x
  2. Step 2: Convert to fraction form
    41,506/62,258.79 = 19,307.14/x
  3. Step 3: Cross multiply
    41,506x = 62,258.79 × 19,307.14
  4. Step 4: Simplify right side
    41,506x = 1,202,039,174.76
  5. Step 5: Solve for x
    x = 1,202,039,174.76/41,506
  6. Step 6: Final answer
    x = 28,960.61

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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.