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Finding the Fourth Proportional to 31,152, 46,730.79 and 12,427.50

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Solution

The fourth proportional to 31,152, 46,730.79 and 12,427.50 is: 18,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152 : 46,730.79 = 12,427.50 : x
  2. Step 2: Convert to fraction form
    31,152/46,730.79 = 12,427.50/x
  3. Step 3: Cross multiply
    31,152x = 46,730.79 × 12,427.50
  4. Step 4: Simplify right side
    31,152x = 580,746,892.73
  5. Step 5: Solve for x
    x = 580,746,892.73/31,152
  6. Step 6: Final answer
    x = 18,642.36

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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.