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Finding the Fourth Proportional to 35,452.74, 53,175.87 and 10,828.74

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Solution

The fourth proportional to 35,452.74, 53,175.87 and 10,828.74 is: 16,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,452.74 : 53,175.87 = 10,828.74 : x
  2. Step 2: Convert to fraction form
    35,452.74/53,175.87 = 10,828.74/x
  3. Step 3: Cross multiply
    35,452.74x = 53,175.87 × 10,828.74
  4. Step 4: Simplify right side
    35,452.74x = 575,827,670.50
  5. Step 5: Solve for x
    x = 575,827,670.50/35,452.74
  6. Step 6: Final answer
    x = 16,242.12

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Why These Related Problems?

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