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Finding the Fourth Proportional to 82,883.61, 114,379.32 and 45,157.86

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Solution

The fourth proportional to 82,883.61, 114,379.32 and 45,157.86 is: 62,317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,883.61 : 114,379.32 = 45,157.86 : x
  2. Step 2: Convert to fraction form
    82,883.61/114,379.32 = 45,157.86/x
  3. Step 3: Cross multiply
    82,883.61x = 114,379.32 × 45,157.86
  4. Step 4: Simplify right side
    82,883.61x = 5,165,125,319.46
  5. Step 5: Solve for x
    x = 5,165,125,319.46/82,883.61
  6. Step 6: Final answer
    x = 62,317.81

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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.