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Finding the Fourth Proportional to 33,968, 46,875.84 and 19,068.80

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Solution

The fourth proportional to 33,968, 46,875.84 and 19,068.80 is: 26,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,968 : 46,875.84 = 19,068.80 : x
  2. Step 2: Convert to fraction form
    33,968/46,875.84 = 19,068.80/x
  3. Step 3: Cross multiply
    33,968x = 46,875.84 × 19,068.80
  4. Step 4: Simplify right side
    33,968x = 893,866,017.79
  5. Step 5: Solve for x
    x = 893,866,017.79/33,968
  6. Step 6: Final answer
    x = 26,314.94

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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.