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Finding the Fourth Proportional to 81,841.79, 112,941.24 and 46,031.03

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Solution

The fourth proportional to 81,841.79, 112,941.24 and 46,031.03 is: 63,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,841.79 : 112,941.24 = 46,031.03 : x
  2. Step 2: Convert to fraction form
    81,841.79/112,941.24 = 46,031.03/x
  3. Step 3: Cross multiply
    81,841.79x = 112,941.24 × 46,031.03
  4. Step 4: Simplify right side
    81,841.79x = 5,198,801,928.18
  5. Step 5: Solve for x
    x = 5,198,801,928.18/81,841.79
  6. Step 6: Final answer
    x = 63,522.58

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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.