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Finding the Fourth Proportional to 48,564.52, 72,829.10 and 16,965.72

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Solution

The fourth proportional to 48,564.52, 72,829.10 and 16,965.72 is: 25,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,564.52 : 72,829.10 = 16,965.72 : x
  2. Step 2: Convert to fraction form
    48,564.52/72,829.10 = 16,965.72/x
  3. Step 3: Cross multiply
    48,564.52x = 72,829.10 × 16,965.72
  4. Step 4: Simplify right side
    48,564.52x = 1,235,598,118.45
  5. Step 5: Solve for x
    x = 1,235,598,118.45/48,564.52
  6. Step 6: Final answer
    x = 25,442.40

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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.