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Finding the Fourth Proportional to 52,165.50, 71,988.39 and 29,809.50

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Solution

The fourth proportional to 52,165.50, 71,988.39 and 29,809.50 is: 41,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,165.50 : 71,988.39 = 29,809.50 : x
  2. Step 2: Convert to fraction form
    52,165.50/71,988.39 = 29,809.50/x
  3. Step 3: Cross multiply
    52,165.50x = 71,988.39 × 29,809.50
  4. Step 4: Simplify right side
    52,165.50x = 2,145,937,911.71
  5. Step 5: Solve for x
    x = 2,145,937,911.71/52,165.50
  6. Step 6: Final answer
    x = 41,137.11

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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.