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Finding the Fourth Proportional to 83,038.36, 114,611.36 and 52,817.80

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Solution

The fourth proportional to 83,038.36, 114,611.36 and 52,817.80 is: 72,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,038.36 : 114,611.36 = 52,817.80 : x
  2. Step 2: Convert to fraction form
    83,038.36/114,611.36 = 52,817.80/x
  3. Step 3: Cross multiply
    83,038.36x = 114,611.36 × 52,817.80
  4. Step 4: Simplify right side
    83,038.36x = 6,053,519,890.21
  5. Step 5: Solve for x
    x = 6,053,519,890.21/83,038.36
  6. Step 6: Final answer
    x = 72,900.28

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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.