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Finding the Fourth Proportional to 31,384.71, 47,085.03 and 14,529.87

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Solution

The fourth proportional to 31,384.71, 47,085.03 and 14,529.87 is: 21,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384.71 : 47,085.03 = 14,529.87 : x
  2. Step 2: Convert to fraction form
    31,384.71/47,085.03 = 14,529.87/x
  3. Step 3: Cross multiply
    31,384.71x = 47,085.03 × 14,529.87
  4. Step 4: Simplify right side
    31,384.71x = 684,139,364.85
  5. Step 5: Solve for x
    x = 684,139,364.85/31,384.71
  6. Step 6: Final answer
    x = 21,798.49

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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.