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Finding the Fourth Proportional to 32,102.28, 44,303.28 and 17,954.28

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Solution

The fourth proportional to 32,102.28, 44,303.28 and 17,954.28 is: 24,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.28 : 44,303.28 = 17,954.28 : x
  2. Step 2: Convert to fraction form
    32,102.28/44,303.28 = 17,954.28/x
  3. Step 3: Cross multiply
    32,102.28x = 44,303.28 × 17,954.28
  4. Step 4: Simplify right side
    32,102.28x = 795,433,494.04
  5. Step 5: Solve for x
    x = 795,433,494.04/32,102.28
  6. Step 6: Final answer
    x = 24,778.10

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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.