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Finding the Fourth Proportional to 31,262.61, 46,897.01 and 10,201.80

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Solution

The fourth proportional to 31,262.61, 46,897.01 and 10,201.80 is: 15,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262.61 : 46,897.01 = 10,201.80 : x
  2. Step 2: Convert to fraction form
    31,262.61/46,897.01 = 10,201.80/x
  3. Step 3: Cross multiply
    31,262.61x = 46,897.01 × 10,201.80
  4. Step 4: Simplify right side
    31,262.61x = 478,433,916.62
  5. Step 5: Solve for x
    x = 478,433,916.62/31,262.61
  6. Step 6: Final answer
    x = 15,303.71

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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.