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Finding the Fourth Proportional to 35,466.10, 53,209.56 and 10,506.80

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Solution

The fourth proportional to 35,466.10, 53,209.56 and 10,506.80 is: 15,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,466.10 : 53,209.56 = 10,506.80 : x
  2. Step 2: Convert to fraction form
    35,466.10/53,209.56 = 10,506.80/x
  3. Step 3: Cross multiply
    35,466.10x = 53,209.56 × 10,506.80
  4. Step 4: Simplify right side
    35,466.10x = 559,062,205.01
  5. Step 5: Solve for x
    x = 559,062,205.01/35,466.10
  6. Step 6: Final answer
    x = 15,763.28

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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.