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Finding the Fourth Proportional to 80,445.14, 111,030.44 and 46,459.16

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Solution

The fourth proportional to 80,445.14, 111,030.44 and 46,459.16 is: 64,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,445.14 : 111,030.44 = 46,459.16 : x
  2. Step 2: Convert to fraction form
    80,445.14/111,030.44 = 46,459.16/x
  3. Step 3: Cross multiply
    80,445.14x = 111,030.44 × 46,459.16
  4. Step 4: Simplify right side
    80,445.14x = 5,158,380,189.38
  5. Step 5: Solve for x
    x = 5,158,380,189.38/80,445.14
  6. Step 6: Final answer
    x = 64,122.96

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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.