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Finding the Fourth Proportional to 36,980.16, 51,032.56 and 21,064.60

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Solution

The fourth proportional to 36,980.16, 51,032.56 and 21,064.60 is: 29,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,980.16 : 51,032.56 = 21,064.60 : x
  2. Step 2: Convert to fraction form
    36,980.16/51,032.56 = 21,064.60/x
  3. Step 3: Cross multiply
    36,980.16x = 51,032.56 × 21,064.60
  4. Step 4: Simplify right side
    36,980.16x = 1,074,980,463.38
  5. Step 5: Solve for x
    x = 1,074,980,463.38/36,980.16
  6. Step 6: Final answer
    x = 29,069.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.