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Finding the Fourth Proportional to 42,565, 58,713.06 and 30,609.40

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Solution

The fourth proportional to 42,565, 58,713.06 and 30,609.40 is: 42,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,565 : 58,713.06 = 30,609.40 : x
  2. Step 2: Convert to fraction form
    42,565/58,713.06 = 30,609.40/x
  3. Step 3: Cross multiply
    42,565x = 58,713.06 × 30,609.40
  4. Step 4: Simplify right side
    42,565x = 1,797,171,538.76
  5. Step 5: Solve for x
    x = 1,797,171,538.76/42,565
  6. Step 6: Final answer
    x = 42,221.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.