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Finding the Fourth Proportional to 46,326.48, 69,489.72 and 18,618

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Solution

The fourth proportional to 46,326.48, 69,489.72 and 18,618 is: 27,927

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,326.48 : 69,489.72 = 18,618 : x
  2. Step 2: Convert to fraction form
    46,326.48/69,489.72 = 18,618/x
  3. Step 3: Cross multiply
    46,326.48x = 69,489.72 × 18,618
  4. Step 4: Simplify right side
    46,326.48x = 1,293,759,606.96
  5. Step 5: Solve for x
    x = 1,293,759,606.96/46,326.48
  6. Step 6: Final answer
    x = 27,927

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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.