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Finding the Fourth Proportional to 83,683.17, 115,485.44 and 45,957.42

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Solution

The fourth proportional to 83,683.17, 115,485.44 and 45,957.42 is: 63,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,683.17 : 115,485.44 = 45,957.42 : x
  2. Step 2: Convert to fraction form
    83,683.17/115,485.44 = 45,957.42/x
  3. Step 3: Cross multiply
    83,683.17x = 115,485.44 × 45,957.42
  4. Step 4: Simplify right side
    83,683.17x = 5,307,412,640.18
  5. Step 5: Solve for x
    x = 5,307,412,640.18/83,683.17
  6. Step 6: Final answer
    x = 63,422.70

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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.