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Finding the Fourth Proportional to 103,698.51, 155,546.74 and 47,522.68

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Solution

The fourth proportional to 103,698.51, 155,546.74 and 47,522.68 is: 71,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.51 : 155,546.74 = 47,522.68 : x
  2. Step 2: Convert to fraction form
    103,698.51/155,546.74 = 47,522.68/x
  3. Step 3: Cross multiply
    103,698.51x = 155,546.74 × 47,522.68
  4. Step 4: Simplify right side
    103,698.51x = 7,391,997,950.06
  5. Step 5: Solve for x
    x = 7,391,997,950.06/103,698.51
  6. Step 6: Final answer
    x = 71,283.55

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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.