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Finding the Fourth Proportional to 30,532.44, 42,117.57 and 17,784.12

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Solution

The fourth proportional to 30,532.44, 42,117.57 and 17,784.12 is: 24,532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.44 : 42,117.57 = 17,784.12 : x
  2. Step 2: Convert to fraction form
    30,532.44/42,117.57 = 17,784.12/x
  3. Step 3: Cross multiply
    30,532.44x = 42,117.57 × 17,784.12
  4. Step 4: Simplify right side
    30,532.44x = 749,023,918.99
  5. Step 5: Solve for x
    x = 749,023,918.99/30,532.44
  6. Step 6: Final answer
    x = 24,532.07

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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.