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Finding the Fourth Proportional to 31,502.70, 47,237.64 and 14,858.26

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Solution

The fourth proportional to 31,502.70, 47,237.64 and 14,858.26 is: 22,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.70 : 47,237.64 = 14,858.26 : x
  2. Step 2: Convert to fraction form
    31,502.70/47,237.64 = 14,858.26/x
  3. Step 3: Cross multiply
    31,502.70x = 47,237.64 × 14,858.26
  4. Step 4: Simplify right side
    31,502.70x = 701,869,018.81
  5. Step 5: Solve for x
    x = 701,869,018.81/31,502.70
  6. Step 6: Final answer
    x = 22,279.65

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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.