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Finding the Fourth Proportional to 31,065.84, 46,599.30 and 10,289.88

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Solution

The fourth proportional to 31,065.84, 46,599.30 and 10,289.88 is: 15,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,065.84 : 46,599.30 = 10,289.88 : x
  2. Step 2: Convert to fraction form
    31,065.84/46,599.30 = 10,289.88/x
  3. Step 3: Cross multiply
    31,065.84x = 46,599.30 × 10,289.88
  4. Step 4: Simplify right side
    31,065.84x = 479,501,205.08
  5. Step 5: Solve for x
    x = 479,501,205.08/31,065.84
  6. Step 6: Final answer
    x = 15,435.00

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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.