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Finding the Fourth Proportional to 83,237.76, 114,873.96 and 46,942.45

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Solution

The fourth proportional to 83,237.76, 114,873.96 and 46,942.45 is: 64,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,237.76 : 114,873.96 = 46,942.45 : x
  2. Step 2: Convert to fraction form
    83,237.76/114,873.96 = 46,942.45/x
  3. Step 3: Cross multiply
    83,237.76x = 114,873.96 × 46,942.45
  4. Step 4: Simplify right side
    83,237.76x = 5,392,465,012.45
  5. Step 5: Solve for x
    x = 5,392,465,012.45/83,237.76
  6. Step 6: Final answer
    x = 64,783.88

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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.