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Finding the Fourth Proportional to 31,564.71, 47,334.76 and 11,832.50

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Solution

The fourth proportional to 31,564.71, 47,334.76 and 11,832.50 is: 17,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.71 : 47,334.76 = 11,832.50 : x
  2. Step 2: Convert to fraction form
    31,564.71/47,334.76 = 11,832.50/x
  3. Step 3: Cross multiply
    31,564.71x = 47,334.76 × 11,832.50
  4. Step 4: Simplify right side
    31,564.71x = 560,088,547.70
  5. Step 5: Solve for x
    x = 560,088,547.70/31,564.71
  6. Step 6: Final answer
    x = 17,744.14

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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.