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Finding the Fourth Proportional to 31,032.34, 46,544.07 and 9,969.67

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Solution

The fourth proportional to 31,032.34, 46,544.07 and 9,969.67 is: 14,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,032.34 : 46,544.07 = 9,969.67 : x
  2. Step 2: Convert to fraction form
    31,032.34/46,544.07 = 9,969.67/x
  3. Step 3: Cross multiply
    31,032.34x = 46,544.07 × 9,969.67
  4. Step 4: Simplify right side
    31,032.34x = 464,028,992.39
  5. Step 5: Solve for x
    x = 464,028,992.39/31,032.34
  6. Step 6: Final answer
    x = 14,953.08

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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.