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Finding the Fourth Proportional to 30,764.34, 45,977.90 and 22,461.84

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Solution

The fourth proportional to 30,764.34, 45,977.90 and 22,461.84 is: 33,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.34 : 45,977.90 = 22,461.84 : x
  2. Step 2: Convert to fraction form
    30,764.34/45,977.90 = 22,461.84/x
  3. Step 3: Cross multiply
    30,764.34x = 45,977.90 × 22,461.84
  4. Step 4: Simplify right side
    30,764.34x = 1,032,748,233.34
  5. Step 5: Solve for x
    x = 1,032,748,233.34/30,764.34
  6. Step 6: Final answer
    x = 33,569.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.