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Finding the Fourth Proportional to 32,076.94, 48,066.18 and 19,578.22

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Solution

The fourth proportional to 32,076.94, 48,066.18 and 19,578.22 is: 29,337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.94 : 48,066.18 = 19,578.22 : x
  2. Step 2: Convert to fraction form
    32,076.94/48,066.18 = 19,578.22/x
  3. Step 3: Cross multiply
    32,076.94x = 48,066.18 × 19,578.22
  4. Step 4: Simplify right side
    32,076.94x = 941,050,246.60
  5. Step 5: Solve for x
    x = 941,050,246.60/32,076.94
  6. Step 6: Final answer
    x = 29,337.28

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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.