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Finding the Fourth Proportional to 35,815.60, 53,723.34 and 9,520.34

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Solution

The fourth proportional to 35,815.60, 53,723.34 and 9,520.34 is: 14,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,815.60 : 53,723.34 = 9,520.34 : x
  2. Step 2: Convert to fraction form
    35,815.60/53,723.34 = 9,520.34/x
  3. Step 3: Cross multiply
    35,815.60x = 53,723.34 × 9,520.34
  4. Step 4: Simplify right side
    35,815.60x = 511,464,415.13
  5. Step 5: Solve for x
    x = 511,464,415.13/35,815.60
  6. Step 6: Final answer
    x = 14,280.49

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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.