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Finding the Fourth Proportional to 30,689, 42,350.87 and 18,113.75

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Solution

The fourth proportional to 30,689, 42,350.87 and 18,113.75 is: 24,997.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,689 : 42,350.87 = 18,113.75 : x
  2. Step 2: Convert to fraction form
    30,689/42,350.87 = 18,113.75/x
  3. Step 3: Cross multiply
    30,689x = 42,350.87 × 18,113.75
  4. Step 4: Simplify right side
    30,689x = 767,132,980.89
  5. Step 5: Solve for x
    x = 767,132,980.89/30,689
  6. Step 6: Final answer
    x = 24,997.00

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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.