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Finding the Fourth Proportional to 51,383, 77,090.04 and 36,419.06

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Solution

The fourth proportional to 51,383, 77,090.04 and 36,419.06 is: 54,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,383 : 77,090.04 = 36,419.06 : x
  2. Step 2: Convert to fraction form
    51,383/77,090.04 = 36,419.06/x
  3. Step 3: Cross multiply
    51,383x = 77,090.04 × 36,419.06
  4. Step 4: Simplify right side
    51,383x = 2,807,546,792.16
  5. Step 5: Solve for x
    x = 2,807,546,792.16/51,383
  6. Step 6: Final answer
    x = 54,639.60

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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.