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Finding the Fourth Proportional to 83,041.64, 114,597.48 and 47,238.60

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Solution

The fourth proportional to 83,041.64, 114,597.48 and 47,238.60 is: 65,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,041.64 : 114,597.48 = 47,238.60 : x
  2. Step 2: Convert to fraction form
    83,041.64/114,597.48 = 47,238.60/x
  3. Step 3: Cross multiply
    83,041.64x = 114,597.48 × 47,238.60
  4. Step 4: Simplify right side
    83,041.64x = 5,413,424,518.73
  5. Step 5: Solve for x
    x = 5,413,424,518.73/83,041.64
  6. Step 6: Final answer
    x = 65,189.28

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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.