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Finding the Fourth Proportional to 85,274.24, 117,724.58 and 51,290.31

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Solution

The fourth proportional to 85,274.24, 117,724.58 and 51,290.31 is: 70,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,274.24 : 117,724.58 = 51,290.31 : x
  2. Step 2: Convert to fraction form
    85,274.24/117,724.58 = 51,290.31/x
  3. Step 3: Cross multiply
    85,274.24x = 117,724.58 × 51,290.31
  4. Step 4: Simplify right side
    85,274.24x = 6,038,130,580.17
  5. Step 5: Solve for x
    x = 6,038,130,580.17/85,274.24
  6. Step 6: Final answer
    x = 70,808.38

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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.