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Finding the Fourth Proportional to 46,538.01, 69,806.10 and 13,258.29

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Solution

The fourth proportional to 46,538.01, 69,806.10 and 13,258.29 is: 19,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,538.01 : 69,806.10 = 13,258.29 : x
  2. Step 2: Convert to fraction form
    46,538.01/69,806.10 = 13,258.29/x
  3. Step 3: Cross multiply
    46,538.01x = 69,806.10 × 13,258.29
  4. Step 4: Simplify right side
    46,538.01x = 925,509,517.57
  5. Step 5: Solve for x
    x = 925,509,517.57/46,538.01
  6. Step 6: Final answer
    x = 19,887.17

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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.