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Finding the Fourth Proportional to 103,347.51, 155,017.62 and 33,225

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Solution

The fourth proportional to 103,347.51, 155,017.62 and 33,225 is: 49,836.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,347.51 : 155,017.62 = 33,225 : x
  2. Step 2: Convert to fraction form
    103,347.51/155,017.62 = 33,225/x
  3. Step 3: Cross multiply
    103,347.51x = 155,017.62 × 33,225
  4. Step 4: Simplify right side
    103,347.51x = 5,150,460,424.50
  5. Step 5: Solve for x
    x = 5,150,460,424.50/103,347.51
  6. Step 6: Final answer
    x = 49,836.33

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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.