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Finding the Fourth Proportional to 77,969.34, 116,963.16 and 27,352.89

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Solution

The fourth proportional to 77,969.34, 116,963.16 and 27,352.89 is: 41,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,969.34 : 116,963.16 = 27,352.89 : x
  2. Step 2: Convert to fraction form
    77,969.34/116,963.16 = 27,352.89/x
  3. Step 3: Cross multiply
    77,969.34x = 116,963.16 × 27,352.89
  4. Step 4: Simplify right side
    77,969.34x = 3,199,280,741.94
  5. Step 5: Solve for x
    x = 3,199,280,741.94/77,969.34
  6. Step 6: Final answer
    x = 41,032.55

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1.5x scale

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.