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Finding the Fourth Proportional to 33,522, 46,261.80 and 18,618

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Solution

The fourth proportional to 33,522, 46,261.80 and 18,618 is: 25,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,522 : 46,261.80 = 18,618 : x
  2. Step 2: Convert to fraction form
    33,522/46,261.80 = 18,618/x
  3. Step 3: Cross multiply
    33,522x = 46,261.80 × 18,618
  4. Step 4: Simplify right side
    33,522x = 861,302,192.40
  5. Step 5: Solve for x
    x = 861,302,192.40/33,522
  6. Step 6: Final answer
    x = 25,693.64

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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.