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Finding the Fourth Proportional to 35,549.69, 53,326.35 and 15,829.63

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Solution

The fourth proportional to 35,549.69, 53,326.35 and 15,829.63 is: 23,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,549.69 : 53,326.35 = 15,829.63 : x
  2. Step 2: Convert to fraction form
    35,549.69/53,326.35 = 15,829.63/x
  3. Step 3: Cross multiply
    35,549.69x = 53,326.35 × 15,829.63
  4. Step 4: Simplify right side
    35,549.69x = 844,136,256.43
  5. Step 5: Solve for x
    x = 844,136,256.43/35,549.69
  6. Step 6: Final answer
    x = 23,745.25

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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.