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Finding the Fourth Proportional to 83,047.60, 114,570.80 and 57,911.68

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Solution

The fourth proportional to 83,047.60, 114,570.80 and 57,911.68 is: 79,893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,047.60 : 114,570.80 = 57,911.68 : x
  2. Step 2: Convert to fraction form
    83,047.60/114,570.80 = 57,911.68/x
  3. Step 3: Cross multiply
    83,047.60x = 114,570.80 × 57,911.68
  4. Step 4: Simplify right side
    83,047.60x = 6,634,987,506.94
  5. Step 5: Solve for x
    x = 6,634,987,506.94/83,047.60
  6. Step 6: Final answer
    x = 79,893.79

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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.