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Finding the Fourth Proportional to 32,809.40, 45,276.96 and 17,905.40

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Solution

The fourth proportional to 32,809.40, 45,276.96 and 17,905.40 is: 24,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,809.40 : 45,276.96 = 17,905.40 : x
  2. Step 2: Convert to fraction form
    32,809.40/45,276.96 = 17,905.40/x
  3. Step 3: Cross multiply
    32,809.40x = 45,276.96 × 17,905.40
  4. Step 4: Simplify right side
    32,809.40x = 810,702,079.58
  5. Step 5: Solve for x
    x = 810,702,079.58/32,809.40
  6. Step 6: Final answer
    x = 24,709.45

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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.