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Finding the Fourth Proportional to 31,001.45, 46,501.76 and 7,628.09

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Solution

The fourth proportional to 31,001.45, 46,501.76 and 7,628.09 is: 11,442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001.45 : 46,501.76 = 7,628.09 : x
  2. Step 2: Convert to fraction form
    31,001.45/46,501.76 = 7,628.09/x
  3. Step 3: Cross multiply
    31,001.45x = 46,501.76 × 7,628.09
  4. Step 4: Simplify right side
    31,001.45x = 354,719,397.00
  5. Step 5: Solve for x
    x = 354,719,397.00/31,001.45
  6. Step 6: Final answer
    x = 11,442.03

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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.