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Finding the Fourth Proportional to 30,461.49, 42,045.80 and 17,717.67

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Solution

The fourth proportional to 30,461.49, 42,045.80 and 17,717.67 is: 24,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.49 : 42,045.80 = 17,717.67 : x
  2. Step 2: Convert to fraction form
    30,461.49/42,045.80 = 17,717.67/x
  3. Step 3: Cross multiply
    30,461.49x = 42,045.80 × 17,717.67
  4. Step 4: Simplify right side
    30,461.49x = 744,953,520.70
  5. Step 5: Solve for x
    x = 744,953,520.70/30,461.49
  6. Step 6: Final answer
    x = 24,455.58

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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.