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Finding the Fourth Proportional to 30,526.01, 45,796.13 and 9,464.96

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Solution

The fourth proportional to 30,526.01, 45,796.13 and 9,464.96 is: 14,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,526.01 : 45,796.13 = 9,464.96 : x
  2. Step 2: Convert to fraction form
    30,526.01/45,796.13 = 9,464.96/x
  3. Step 3: Cross multiply
    30,526.01x = 45,796.13 × 9,464.96
  4. Step 4: Simplify right side
    30,526.01x = 433,458,262.30
  5. Step 5: Solve for x
    x = 433,458,262.30/30,526.01
  6. Step 6: Final answer
    x = 14,199.64

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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.