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Finding the Fourth Proportional to 83,013.46, 114,558.04 and 47,203.47

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Solution

The fourth proportional to 83,013.46, 114,558.04 and 47,203.47 is: 65,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,013.46 : 114,558.04 = 47,203.47 : x
  2. Step 2: Convert to fraction form
    83,013.46/114,558.04 = 47,203.47/x
  3. Step 3: Cross multiply
    83,013.46x = 114,558.04 × 47,203.47
  4. Step 4: Simplify right side
    83,013.46x = 5,407,537,004.40
  5. Step 5: Solve for x
    x = 5,407,537,004.40/83,013.46
  6. Step 6: Final answer
    x = 65,140.48

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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.