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Finding the Fourth Proportional to 35,920.60, 53,884.54 and 9,628

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Solution

The fourth proportional to 35,920.60, 53,884.54 and 9,628 is: 14,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,920.60 : 53,884.54 = 9,628 : x
  2. Step 2: Convert to fraction form
    35,920.60/53,884.54 = 9,628/x
  3. Step 3: Cross multiply
    35,920.60x = 53,884.54 × 9,628
  4. Step 4: Simplify right side
    35,920.60x = 518,800,351.12
  5. Step 5: Solve for x
    x = 518,800,351.12/35,920.60
  6. Step 6: Final answer
    x = 14,442.98

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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.