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Finding the Fourth Proportional to 31,202.64, 46,802.52 and 11,479.80

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Solution

The fourth proportional to 31,202.64, 46,802.52 and 11,479.80 is: 17,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202.64 : 46,802.52 = 11,479.80 : x
  2. Step 2: Convert to fraction form
    31,202.64/46,802.52 = 11,479.80/x
  3. Step 3: Cross multiply
    31,202.64x = 46,802.52 × 11,479.80
  4. Step 4: Simplify right side
    31,202.64x = 537,283,569.10
  5. Step 5: Solve for x
    x = 537,283,569.10/31,202.64
  6. Step 6: Final answer
    x = 17,219.17

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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.