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Finding the Fourth Proportional to 31,907.80, 47,861.70 and 14,411.80

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Solution

The fourth proportional to 31,907.80, 47,861.70 and 14,411.80 is: 21,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.80 : 47,861.70 = 14,411.80 : x
  2. Step 2: Convert to fraction form
    31,907.80/47,861.70 = 14,411.80/x
  3. Step 3: Cross multiply
    31,907.80x = 47,861.70 × 14,411.80
  4. Step 4: Simplify right side
    31,907.80x = 689,773,248.06
  5. Step 5: Solve for x
    x = 689,773,248.06/31,907.80
  6. Step 6: Final answer
    x = 21,617.70

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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.