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Finding the Fourth Proportional to 113,724, 170,586 and 30,618

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Solution

The fourth proportional to 113,724, 170,586 and 30,618 is: 45,927

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,724 : 170,586 = 30,618 : x
  2. Step 2: Convert to fraction form
    113,724/170,586 = 30,618/x
  3. Step 3: Cross multiply
    113,724x = 170,586 × 30,618
  4. Step 4: Simplify right side
    113,724x = 5,223,002,148
  5. Step 5: Solve for x
    x = 5,223,002,148/113,724
  6. Step 6: Final answer
    x = 45,927

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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.