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Finding the Fourth Proportional to 30,580.68, 42,197.58 and 18,003

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Solution

The fourth proportional to 30,580.68, 42,197.58 and 18,003 is: 24,841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.68 : 42,197.58 = 18,003 : x
  2. Step 2: Convert to fraction form
    30,580.68/42,197.58 = 18,003/x
  3. Step 3: Cross multiply
    30,580.68x = 42,197.58 × 18,003
  4. Step 4: Simplify right side
    30,580.68x = 759,683,032.74
  5. Step 5: Solve for x
    x = 759,683,032.74/30,580.68
  6. Step 6: Final answer
    x = 24,841.93

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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.