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Finding the Fourth Proportional to 32,768.64, 45,219.52 and 17,864.32

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Solution

The fourth proportional to 32,768.64, 45,219.52 and 17,864.32 is: 24,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768.64 : 45,219.52 = 17,864.32 : x
  2. Step 2: Convert to fraction form
    32,768.64/45,219.52 = 17,864.32/x
  3. Step 3: Cross multiply
    32,768.64x = 45,219.52 × 17,864.32
  4. Step 4: Simplify right side
    32,768.64x = 807,815,975.53
  5. Step 5: Solve for x
    x = 807,815,975.53/32,768.64
  6. Step 6: Final answer
    x = 24,652.11

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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.