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Finding the Fourth Proportional to 82,808.40, 124,201.40 and 32,925.20

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Solution

The fourth proportional to 82,808.40, 124,201.40 and 32,925.20 is: 49,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,808.40 : 124,201.40 = 32,925.20 : x
  2. Step 2: Convert to fraction form
    82,808.40/124,201.40 = 32,925.20/x
  3. Step 3: Cross multiply
    82,808.40x = 124,201.40 × 32,925.20
  4. Step 4: Simplify right side
    82,808.40x = 4,089,355,935.28
  5. Step 5: Solve for x
    x = 4,089,355,935.28/82,808.40
  6. Step 6: Final answer
    x = 49,383.35

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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.