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Finding the Fourth Proportional to 114,562.28, 171,802.42 and 39,662.32

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Solution

The fourth proportional to 114,562.28, 171,802.42 and 39,662.32 is: 59,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,562.28 : 171,802.42 = 39,662.32 : x
  2. Step 2: Convert to fraction form
    114,562.28/171,802.42 = 39,662.32/x
  3. Step 3: Cross multiply
    114,562.28x = 171,802.42 × 39,662.32
  4. Step 4: Simplify right side
    114,562.28x = 6,814,081,869.09
  5. Step 5: Solve for x
    x = 6,814,081,869.09/114,562.28
  6. Step 6: Final answer
    x = 59,479.28

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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.