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Finding the Fourth Proportional to 52,009.75, 71,783.18 and 29,653.75

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Solution

The fourth proportional to 52,009.75, 71,783.18 and 29,653.75 is: 40,927.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,009.75 : 71,783.18 = 29,653.75 : x
  2. Step 2: Convert to fraction form
    52,009.75/71,783.18 = 29,653.75/x
  3. Step 3: Cross multiply
    52,009.75x = 71,783.18 × 29,653.75
  4. Step 4: Simplify right side
    52,009.75x = 2,128,640,473.93
  5. Step 5: Solve for x
    x = 2,128,640,473.93/52,009.75
  6. Step 6: Final answer
    x = 40,927.72

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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.