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Finding the Fourth Proportional to 31,897.72, 47,830.15 and 14,357.98

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Solution

The fourth proportional to 31,897.72, 47,830.15 and 14,357.98 is: 21,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,897.72 : 47,830.15 = 14,357.98 : x
  2. Step 2: Convert to fraction form
    31,897.72/47,830.15 = 14,357.98/x
  3. Step 3: Cross multiply
    31,897.72x = 47,830.15 × 14,357.98
  4. Step 4: Simplify right side
    31,897.72x = 686,744,337.10
  5. Step 5: Solve for x
    x = 686,744,337.10/31,897.72
  6. Step 6: Final answer
    x = 21,529.57

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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.