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Finding the Fourth Proportional to 33,700, 46,506 and 18,796

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Solution

The fourth proportional to 33,700, 46,506 and 18,796 is: 25,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,700 : 46,506 = 18,796 : x
  2. Step 2: Convert to fraction form
    33,700/46,506 = 18,796/x
  3. Step 3: Cross multiply
    33,700x = 46,506 × 18,796
  4. Step 4: Simplify right side
    33,700x = 874,126,776
  5. Step 5: Solve for x
    x = 874,126,776/33,700
  6. Step 6: Final answer
    x = 25,938.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.