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Finding the Fourth Proportional to 52,007, 71,740.50 and 31,873.64

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Solution

The fourth proportional to 52,007, 71,740.50 and 31,873.64 is: 43,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,007 : 71,740.50 = 31,873.64 : x
  2. Step 2: Convert to fraction form
    52,007/71,740.50 = 31,873.64/x
  3. Step 3: Cross multiply
    52,007x = 71,740.50 × 31,873.64
  4. Step 4: Simplify right side
    52,007x = 2,286,630,870.42
  5. Step 5: Solve for x
    x = 2,286,630,870.42/52,007
  6. Step 6: Final answer
    x = 43,967.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.