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Finding the Fourth Proportional to 31,041.75, 46,567.49 and 10,270.11

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Solution

The fourth proportional to 31,041.75, 46,567.49 and 10,270.11 is: 15,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,041.75 : 46,567.49 = 10,270.11 : x
  2. Step 2: Convert to fraction form
    31,041.75/46,567.49 = 10,270.11/x
  3. Step 3: Cross multiply
    31,041.75x = 46,567.49 × 10,270.11
  4. Step 4: Simplify right side
    31,041.75x = 478,253,193.37
  5. Step 5: Solve for x
    x = 478,253,193.37/31,041.75
  6. Step 6: Final answer
    x = 15,406.77

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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.