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Finding the Fourth Proportional to 31,243, 46,870.98 and 12,775

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Solution

The fourth proportional to 31,243, 46,870.98 and 12,775 is: 19,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,243 : 46,870.98 = 12,775 : x
  2. Step 2: Convert to fraction form
    31,243/46,870.98 = 12,775/x
  3. Step 3: Cross multiply
    31,243x = 46,870.98 × 12,775
  4. Step 4: Simplify right side
    31,243x = 598,776,769.50
  5. Step 5: Solve for x
    x = 598,776,769.50/31,243
  6. Step 6: Final answer
    x = 19,165.15

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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.