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Finding the Fourth Proportional to 30,461.60, 42,037.12 and 17,717.84

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Solution

The fourth proportional to 30,461.60, 42,037.12 and 17,717.84 is: 24,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.60 : 42,037.12 = 17,717.84 : x
  2. Step 2: Convert to fraction form
    30,461.60/42,037.12 = 17,717.84/x
  3. Step 3: Cross multiply
    30,461.60x = 42,037.12 × 17,717.84
  4. Step 4: Simplify right side
    30,461.60x = 744,806,966.22
  5. Step 5: Solve for x
    x = 744,806,966.22/30,461.60
  6. Step 6: Final answer
    x = 24,450.68

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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.