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Finding the Fourth Proportional to 46,535.70, 69,802.80 and 11,475.36

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Solution

The fourth proportional to 46,535.70, 69,802.80 and 11,475.36 is: 17,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,535.70 : 69,802.80 = 11,475.36 : x
  2. Step 2: Convert to fraction form
    46,535.70/69,802.80 = 11,475.36/x
  3. Step 3: Cross multiply
    46,535.70x = 69,802.80 × 11,475.36
  4. Step 4: Simplify right side
    46,535.70x = 801,012,259.01
  5. Step 5: Solve for x
    x = 801,012,259.01/46,535.70
  6. Step 6: Final answer
    x = 17,212.86

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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.