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Finding the Fourth Proportional to 30,461.59, 45,692.52 and 10,729.45

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Solution

The fourth proportional to 30,461.59, 45,692.52 and 10,729.45 is: 16,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.59 : 45,692.52 = 10,729.45 : x
  2. Step 2: Convert to fraction form
    30,461.59/45,692.52 = 10,729.45/x
  3. Step 3: Cross multiply
    30,461.59x = 45,692.52 × 10,729.45
  4. Step 4: Simplify right side
    30,461.59x = 490,255,608.71
  5. Step 5: Solve for x
    x = 490,255,608.71/30,461.59
  6. Step 6: Final answer
    x = 16,094.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.