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Finding the Fourth Proportional to 31,646.40, 47,428.07 and 23,287.28

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Solution

The fourth proportional to 31,646.40, 47,428.07 and 23,287.28 is: 34,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646.40 : 47,428.07 = 23,287.28 : x
  2. Step 2: Convert to fraction form
    31,646.40/47,428.07 = 23,287.28/x
  3. Step 3: Cross multiply
    31,646.40x = 47,428.07 × 23,287.28
  4. Step 4: Simplify right side
    31,646.40x = 1,104,470,567.03
  5. Step 5: Solve for x
    x = 1,104,470,567.03/31,646.40
  6. Step 6: Final answer
    x = 34,900.35

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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.