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Finding the Fourth Proportional to 38,754, 58,152 and 30,006

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Solution

The fourth proportional to 38,754, 58,152 and 30,006 is: 45,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,754 : 58,152 = 30,006 : x
  2. Step 2: Convert to fraction form
    38,754/58,152 = 30,006/x
  3. Step 3: Cross multiply
    38,754x = 58,152 × 30,006
  4. Step 4: Simplify right side
    38,754x = 1,744,908,912
  5. Step 5: Solve for x
    x = 1,744,908,912/38,754
  6. Step 6: Final answer
    x = 45,025.26

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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.