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Finding the Fourth Proportional to 31,139.12, 46,716.47 and 8,952.50

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Solution

The fourth proportional to 31,139.12, 46,716.47 and 8,952.50 is: 13,430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,139.12 : 46,716.47 = 8,952.50 : x
  2. Step 2: Convert to fraction form
    31,139.12/46,716.47 = 8,952.50/x
  3. Step 3: Cross multiply
    31,139.12x = 46,716.47 × 8,952.50
  4. Step 4: Simplify right side
    31,139.12x = 418,229,040.17
  5. Step 5: Solve for x
    x = 418,229,040.17/31,139.12
  6. Step 6: Final answer
    x = 13,430.98

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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.