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Finding the Fourth Proportional to 83,119.74, 114,676.80 and 47,300.76

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Solution

The fourth proportional to 83,119.74, 114,676.80 and 47,300.76 is: 65,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,119.74 : 114,676.80 = 47,300.76 : x
  2. Step 2: Convert to fraction form
    83,119.74/114,676.80 = 47,300.76/x
  3. Step 3: Cross multiply
    83,119.74x = 114,676.80 × 47,300.76
  4. Step 4: Simplify right side
    83,119.74x = 5,424,299,794.37
  5. Step 5: Solve for x
    x = 5,424,299,794.37/83,119.74
  6. Step 6: Final answer
    x = 65,258.86

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1.5x scale

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.