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Finding the Fourth Proportional to 33,547.50, 46,295.64 and 18,643.50

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Solution

The fourth proportional to 33,547.50, 46,295.64 and 18,643.50 is: 25,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547.50 : 46,295.64 = 18,643.50 : x
  2. Step 2: Convert to fraction form
    33,547.50/46,295.64 = 18,643.50/x
  3. Step 3: Cross multiply
    33,547.50x = 46,295.64 × 18,643.50
  4. Step 4: Simplify right side
    33,547.50x = 863,112,764.34
  5. Step 5: Solve for x
    x = 863,112,764.34/33,547.50
  6. Step 6: Final answer
    x = 25,728.08

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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.