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Finding the Fourth Proportional to 83,854.85, 115,722.69 and 48,051.77

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Solution

The fourth proportional to 83,854.85, 115,722.69 and 48,051.77 is: 66,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,854.85 : 115,722.69 = 48,051.77 : x
  2. Step 2: Convert to fraction form
    83,854.85/115,722.69 = 48,051.77/x
  3. Step 3: Cross multiply
    83,854.85x = 115,722.69 × 48,051.77
  4. Step 4: Simplify right side
    83,854.85x = 5,560,679,880.63
  5. Step 5: Solve for x
    x = 5,560,679,880.63/83,854.85
  6. Step 6: Final answer
    x = 66,313.16

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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.