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Finding the Fourth Proportional to 31,257, 46,885.50 and 9,369

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Solution

The fourth proportional to 31,257, 46,885.50 and 9,369 is: 14,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,257 : 46,885.50 = 9,369 : x
  2. Step 2: Convert to fraction form
    31,257/46,885.50 = 9,369/x
  3. Step 3: Cross multiply
    31,257x = 46,885.50 × 9,369
  4. Step 4: Simplify right side
    31,257x = 439,270,249.50
  5. Step 5: Solve for x
    x = 439,270,249.50/31,257
  6. Step 6: Final answer
    x = 14,053.50

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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.