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Finding the Fourth Proportional to 114,801.76, 172,219.92 and 40,924

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Solution

The fourth proportional to 114,801.76, 172,219.92 and 40,924 is: 61,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,801.76 : 172,219.92 = 40,924 : x
  2. Step 2: Convert to fraction form
    114,801.76/172,219.92 = 40,924/x
  3. Step 3: Cross multiply
    114,801.76x = 172,219.92 × 40,924
  4. Step 4: Simplify right side
    114,801.76x = 7,047,928,006.08
  5. Step 5: Solve for x
    x = 7,047,928,006.08/114,801.76
  6. Step 6: Final answer
    x = 61,392.16

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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.