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Finding the Fourth Proportional to 35,522.06, 53,283.08 and 10,562

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Solution

The fourth proportional to 35,522.06, 53,283.08 and 10,562 is: 15,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,522.06 : 53,283.08 = 10,562 : x
  2. Step 2: Convert to fraction form
    35,522.06/53,283.08 = 10,562/x
  3. Step 3: Cross multiply
    35,522.06x = 53,283.08 × 10,562
  4. Step 4: Simplify right side
    35,522.06x = 562,775,890.96
  5. Step 5: Solve for x
    x = 562,775,890.96/35,522.06
  6. Step 6: Final answer
    x = 15,843.00

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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.