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Finding the Fourth Proportional to 31,288.58, 46,903.71 and 10,497.50

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Solution

The fourth proportional to 31,288.58, 46,903.71 and 10,497.50 is: 15,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,288.58 : 46,903.71 = 10,497.50 : x
  2. Step 2: Convert to fraction form
    31,288.58/46,903.71 = 10,497.50/x
  3. Step 3: Cross multiply
    31,288.58x = 46,903.71 × 10,497.50
  4. Step 4: Simplify right side
    31,288.58x = 492,371,695.73
  5. Step 5: Solve for x
    x = 492,371,695.73/31,288.58
  6. Step 6: Final answer
    x = 15,736.47

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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.