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Finding the Fourth Proportional to 31,382.40, 47,030.88 and 15,810.72

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Solution

The fourth proportional to 31,382.40, 47,030.88 and 15,810.72 is: 23,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.40 : 47,030.88 = 15,810.72 : x
  2. Step 2: Convert to fraction form
    31,382.40/47,030.88 = 15,810.72/x
  3. Step 3: Cross multiply
    31,382.40x = 47,030.88 × 15,810.72
  4. Step 4: Simplify right side
    31,382.40x = 743,592,075.03
  5. Step 5: Solve for x
    x = 743,592,075.03/31,382.40
  6. Step 6: Final answer
    x = 23,694.56

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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.