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Finding the Fourth Proportional to 31,262.17, 46,897.89 and 9,075.73

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Solution

The fourth proportional to 31,262.17, 46,897.89 and 9,075.73 is: 13,614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262.17 : 46,897.89 = 9,075.73 : x
  2. Step 2: Convert to fraction form
    31,262.17/46,897.89 = 9,075.73/x
  3. Step 3: Cross multiply
    31,262.17x = 46,897.89 × 9,075.73
  4. Step 4: Simplify right side
    31,262.17x = 425,632,587.21
  5. Step 5: Solve for x
    x = 425,632,587.21/31,262.17
  6. Step 6: Final answer
    x = 13,614.94

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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.