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Finding the Fourth Proportional to 105,034, 157,551 and 27,210

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Solution

The fourth proportional to 105,034, 157,551 and 27,210 is: 40,815

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,034 : 157,551 = 27,210 : x
  2. Step 2: Convert to fraction form
    105,034/157,551 = 27,210/x
  3. Step 3: Cross multiply
    105,034x = 157,551 × 27,210
  4. Step 4: Simplify right side
    105,034x = 4,286,962,710
  5. Step 5: Solve for x
    x = 4,286,962,710/105,034
  6. Step 6: Final answer
    x = 40,815

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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.