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Finding the Fourth Proportional to 32,678.40, 48,904.20 and 19,540.20

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Solution

The fourth proportional to 32,678.40, 48,904.20 and 19,540.20 is: 29,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.40 : 48,904.20 = 19,540.20 : x
  2. Step 2: Convert to fraction form
    32,678.40/48,904.20 = 19,540.20/x
  3. Step 3: Cross multiply
    32,678.40x = 48,904.20 × 19,540.20
  4. Step 4: Simplify right side
    32,678.40x = 955,597,848.84
  5. Step 5: Solve for x
    x = 955,597,848.84/32,678.40
  6. Step 6: Final answer
    x = 29,242.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.