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Finding the Fourth Proportional to 30,459.93, 45,692.33 and 10,461.41

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Solution

The fourth proportional to 30,459.93, 45,692.33 and 10,461.41 is: 15,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459.93 : 45,692.33 = 10,461.41 : x
  2. Step 2: Convert to fraction form
    30,459.93/45,692.33 = 10,461.41/x
  3. Step 3: Cross multiply
    30,459.93x = 45,692.33 × 10,461.41
  4. Step 4: Simplify right side
    30,459.93x = 478,005,917.22
  5. Step 5: Solve for x
    x = 478,005,917.22/30,459.93
  6. Step 6: Final answer
    x = 15,692.94

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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.