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Finding the Fourth Proportional to 43,465.44, 59,978.16 and 34,534.56

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Solution

The fourth proportional to 43,465.44, 59,978.16 and 34,534.56 is: 47,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,465.44 : 59,978.16 = 34,534.56 : x
  2. Step 2: Convert to fraction form
    43,465.44/59,978.16 = 34,534.56/x
  3. Step 3: Cross multiply
    43,465.44x = 59,978.16 × 34,534.56
  4. Step 4: Simplify right side
    43,465.44x = 2,071,319,365.21
  5. Step 5: Solve for x
    x = 2,071,319,365.21/43,465.44
  6. Step 6: Final answer
    x = 47,654.40

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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.