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Finding the Fourth Proportional to 35,482.34, 53,227.64 and 11,792.00

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Solution

The fourth proportional to 35,482.34, 53,227.64 and 11,792.00 is: 17,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,482.34 : 53,227.64 = 11,792.00 : x
  2. Step 2: Convert to fraction form
    35,482.34/53,227.64 = 11,792.00/x
  3. Step 3: Cross multiply
    35,482.34x = 53,227.64 × 11,792.00
  4. Step 4: Simplify right side
    35,482.34x = 627,660,404.99
  5. Step 5: Solve for x
    x = 627,660,404.99/35,482.34
  6. Step 6: Final answer
    x = 17,689.37

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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.