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Finding the Fourth Proportional to 30,526.47, 45,796.28 and 9,466.09

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Solution

The fourth proportional to 30,526.47, 45,796.28 and 9,466.09 is: 14,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,526.47 : 45,796.28 = 9,466.09 : x
  2. Step 2: Convert to fraction form
    30,526.47/45,796.28 = 9,466.09/x
  3. Step 3: Cross multiply
    30,526.47x = 45,796.28 × 9,466.09
  4. Step 4: Simplify right side
    30,526.47x = 433,511,455.50
  5. Step 5: Solve for x
    x = 433,511,455.50/30,526.47
  6. Step 6: Final answer
    x = 14,201.17

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Why These Related Problems?

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