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Finding the Fourth Proportional to 30,435.57, 45,647.88 and 13,792.50

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Solution

The fourth proportional to 30,435.57, 45,647.88 and 13,792.50 is: 20,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,435.57 : 45,647.88 = 13,792.50 : x
  2. Step 2: Convert to fraction form
    30,435.57/45,647.88 = 13,792.50/x
  3. Step 3: Cross multiply
    30,435.57x = 45,647.88 × 13,792.50
  4. Step 4: Simplify right side
    30,435.57x = 629,598,384.90
  5. Step 5: Solve for x
    x = 629,598,384.90/30,435.57
  6. Step 6: Final answer
    x = 20,686.27

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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.