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Finding the Fourth Proportional to 83,683.37, 115,482.92 and 45,957.62

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Solution

The fourth proportional to 83,683.37, 115,482.92 and 45,957.62 is: 63,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,683.37 : 115,482.92 = 45,957.62 : x
  2. Step 2: Convert to fraction form
    83,683.37/115,482.92 = 45,957.62/x
  3. Step 3: Cross multiply
    83,683.37x = 115,482.92 × 45,957.62
  4. Step 4: Simplify right side
    83,683.37x = 5,307,320,153.85
  5. Step 5: Solve for x
    x = 5,307,320,153.85/83,683.37
  6. Step 6: Final answer
    x = 63,421.44

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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.