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Finding the Fourth Proportional to 31,564.77, 47,283.14 and 14,674.11

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Solution

The fourth proportional to 31,564.77, 47,283.14 and 14,674.11 is: 21,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.77 : 47,283.14 = 14,674.11 : x
  2. Step 2: Convert to fraction form
    31,564.77/47,283.14 = 14,674.11/x
  3. Step 3: Cross multiply
    31,564.77x = 47,283.14 × 14,674.11
  4. Step 4: Simplify right side
    31,564.77x = 693,837,924.13
  5. Step 5: Solve for x
    x = 693,837,924.13/31,564.77
  6. Step 6: Final answer
    x = 21,981.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.