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Finding the Fourth Proportional to 84,804.60, 127,202.82 and 32,210

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Solution

The fourth proportional to 84,804.60, 127,202.82 and 32,210 is: 48,313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,804.60 : 127,202.82 = 32,210 : x
  2. Step 2: Convert to fraction form
    84,804.60/127,202.82 = 32,210/x
  3. Step 3: Cross multiply
    84,804.60x = 127,202.82 × 32,210
  4. Step 4: Simplify right side
    84,804.60x = 4,097,202,832.20
  5. Step 5: Solve for x
    x = 4,097,202,832.20/84,804.60
  6. Step 6: Final answer
    x = 48,313.45

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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.