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Finding the Fourth Proportional to 46,541.80, 69,812.70 and 13,258.60

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Solution

The fourth proportional to 46,541.80, 69,812.70 and 13,258.60 is: 19,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,541.80 : 69,812.70 = 13,258.60 : x
  2. Step 2: Convert to fraction form
    46,541.80/69,812.70 = 13,258.60/x
  3. Step 3: Cross multiply
    46,541.80x = 69,812.70 × 13,258.60
  4. Step 4: Simplify right side
    46,541.80x = 925,618,664.22
  5. Step 5: Solve for x
    x = 925,618,664.22/46,541.80
  6. Step 6: Final answer
    x = 19,887.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.