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Finding the Fourth Proportional to 32,103.70, 44,303.22 and 17,955.64

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Solution

The fourth proportional to 32,103.70, 44,303.22 and 17,955.64 is: 24,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.70 : 44,303.22 = 17,955.64 : x
  2. Step 2: Convert to fraction form
    32,103.70/44,303.22 = 17,955.64/x
  3. Step 3: Cross multiply
    32,103.70x = 44,303.22 × 17,955.64
  4. Step 4: Simplify right side
    32,103.70x = 795,492,669.16
  5. Step 5: Solve for x
    x = 795,492,669.16/32,103.70
  6. Step 6: Final answer
    x = 24,778.85

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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.