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Finding the Fourth Proportional to 35,829.78, 53,745.88 and 9,534.55

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Solution

The fourth proportional to 35,829.78, 53,745.88 and 9,534.55 is: 14,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829.78 : 53,745.88 = 9,534.55 : x
  2. Step 2: Convert to fraction form
    35,829.78/53,745.88 = 9,534.55/x
  3. Step 3: Cross multiply
    35,829.78x = 53,745.88 × 9,534.55
  4. Step 4: Simplify right side
    35,829.78x = 512,442,511.42
  5. Step 5: Solve for x
    x = 512,442,511.42/35,829.78
  6. Step 6: Final answer
    x = 14,302.14

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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.