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Finding the Fourth Proportional to 77,465.16, 116,196.12 and 21,305.03

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Solution

The fourth proportional to 77,465.16, 116,196.12 and 21,305.03 is: 31,957.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,465.16 : 116,196.12 = 21,305.03 : x
  2. Step 2: Convert to fraction form
    77,465.16/116,196.12 = 21,305.03/x
  3. Step 3: Cross multiply
    77,465.16x = 116,196.12 × 21,305.03
  4. Step 4: Simplify right side
    77,465.16x = 2,475,561,241.50
  5. Step 5: Solve for x
    x = 2,475,561,241.50/77,465.16
  6. Step 6: Final answer
    x = 31,957.09

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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.