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Finding the Fourth Proportional to 35,069.50, 48,395.91 and 20,165.50

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Solution

The fourth proportional to 35,069.50, 48,395.91 and 20,165.50 is: 27,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,069.50 : 48,395.91 = 20,165.50 : x
  2. Step 2: Convert to fraction form
    35,069.50/48,395.91 = 20,165.50/x
  3. Step 3: Cross multiply
    35,069.50x = 48,395.91 × 20,165.50
  4. Step 4: Simplify right side
    35,069.50x = 975,927,723.11
  5. Step 5: Solve for x
    x = 975,927,723.11/35,069.50
  6. Step 6: Final answer
    x = 27,828.39

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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.