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Finding the Fourth Proportional to 30,707.98, 42,370.65 and 17,958.69

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Solution

The fourth proportional to 30,707.98, 42,370.65 and 17,958.69 is: 24,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,707.98 : 42,370.65 = 17,958.69 : x
  2. Step 2: Convert to fraction form
    30,707.98/42,370.65 = 17,958.69/x
  3. Step 3: Cross multiply
    30,707.98x = 42,370.65 × 17,958.69
  4. Step 4: Simplify right side
    30,707.98x = 760,921,368.45
  5. Step 5: Solve for x
    x = 760,921,368.45/30,707.98
  6. Step 6: Final answer
    x = 24,779.27

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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.