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Finding the Fourth Proportional to 31,298, 46,947.06 and 7,605.57

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Solution

The fourth proportional to 31,298, 46,947.06 and 7,605.57 is: 11,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298 : 46,947.06 = 7,605.57 : x
  2. Step 2: Convert to fraction form
    31,298/46,947.06 = 7,605.57/x
  3. Step 3: Cross multiply
    31,298x = 46,947.06 × 7,605.57
  4. Step 4: Simplify right side
    31,298x = 357,059,151.12
  5. Step 5: Solve for x
    x = 357,059,151.12/31,298
  6. Step 6: Final answer
    x = 11,408.37

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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.