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Finding the Fourth Proportional to 83,592.73, 115,357.96 and 47,783.51

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Solution

The fourth proportional to 83,592.73, 115,357.96 and 47,783.51 is: 65,941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,592.73 : 115,357.96 = 47,783.51 : x
  2. Step 2: Convert to fraction form
    83,592.73/115,357.96 = 47,783.51/x
  3. Step 3: Cross multiply
    83,592.73x = 115,357.96 × 47,783.51
  4. Step 4: Simplify right side
    83,592.73x = 5,512,207,419.53
  5. Step 5: Solve for x
    x = 5,512,207,419.53/83,592.73
  6. Step 6: Final answer
    x = 65,941.23

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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.