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Finding the Fourth Proportional to 31,043.17, 46,564.76 and 10,266.67

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Solution

The fourth proportional to 31,043.17, 46,564.76 and 10,266.67 is: 15,400.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.17 : 46,564.76 = 10,266.67 : x
  2. Step 2: Convert to fraction form
    31,043.17/46,564.76 = 10,266.67/x
  3. Step 3: Cross multiply
    31,043.17x = 46,564.76 × 10,266.67
  4. Step 4: Simplify right side
    31,043.17x = 478,065,024.55
  5. Step 5: Solve for x
    x = 478,065,024.55/31,043.17
  6. Step 6: Final answer
    x = 15,400.01

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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.