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Finding the Fourth Proportional to 103,698.72, 155,572.72 and 33,578

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Solution

The fourth proportional to 103,698.72, 155,572.72 and 33,578 is: 50,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.72 : 155,572.72 = 33,578 : x
  2. Step 2: Convert to fraction form
    103,698.72/155,572.72 = 33,578/x
  3. Step 3: Cross multiply
    103,698.72x = 155,572.72 × 33,578
  4. Step 4: Simplify right side
    103,698.72x = 5,223,820,792.16
  5. Step 5: Solve for x
    x = 5,223,820,792.16/103,698.72
  6. Step 6: Final answer
    x = 50,374.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.