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Finding the Fourth Proportional to 30,493.16, 42,076.72 and 17,750.46

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Solution

The fourth proportional to 30,493.16, 42,076.72 and 17,750.46 is: 24,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.16 : 42,076.72 = 17,750.46 : x
  2. Step 2: Convert to fraction form
    30,493.16/42,076.72 = 17,750.46/x
  3. Step 3: Cross multiply
    30,493.16x = 42,076.72 × 17,750.46
  4. Step 4: Simplify right side
    30,493.16x = 746,881,135.29
  5. Step 5: Solve for x
    x = 746,881,135.29/30,493.16
  6. Step 6: Final answer
    x = 24,493.40

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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.