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Finding the Fourth Proportional to 31,298.64, 46,938 and 10,233.84

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Solution

The fourth proportional to 31,298.64, 46,938 and 10,233.84 is: 15,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298.64 : 46,938 = 10,233.84 : x
  2. Step 2: Convert to fraction form
    31,298.64/46,938 = 10,233.84/x
  3. Step 3: Cross multiply
    31,298.64x = 46,938 × 10,233.84
  4. Step 4: Simplify right side
    31,298.64x = 480,355,981.92
  5. Step 5: Solve for x
    x = 480,355,981.92/31,298.64
  6. Step 6: Final answer
    x = 15,347.50

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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.