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Finding the Fourth Proportional to 52,017.70, 71,784.13 and 29,364.06

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Solution

The fourth proportional to 52,017.70, 71,784.13 and 29,364.06 is: 40,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,017.70 : 71,784.13 = 29,364.06 : x
  2. Step 2: Convert to fraction form
    52,017.70/71,784.13 = 29,364.06/x
  3. Step 3: Cross multiply
    52,017.70x = 71,784.13 × 29,364.06
  4. Step 4: Simplify right side
    52,017.70x = 2,107,873,500.37
  5. Step 5: Solve for x
    x = 2,107,873,500.37/52,017.70
  6. Step 6: Final answer
    x = 40,522.24

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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.