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Finding the Fourth Proportional to 82,663.80, 114,074.82 and 46,853.16

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Solution

The fourth proportional to 82,663.80, 114,074.82 and 46,853.16 is: 64,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,663.80 : 114,074.82 = 46,853.16 : x
  2. Step 2: Convert to fraction form
    82,663.80/114,074.82 = 46,853.16/x
  3. Step 3: Cross multiply
    82,663.80x = 114,074.82 × 46,853.16
  4. Step 4: Simplify right side
    82,663.80x = 5,344,765,793.43
  5. Step 5: Solve for x
    x = 5,344,765,793.43/82,663.80
  6. Step 6: Final answer
    x = 64,656.67

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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.