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Finding the Fourth Proportional to 117,424.50, 176,136.13 and 28,678.47

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Solution

The fourth proportional to 117,424.50, 176,136.13 and 28,678.47 is: 43,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,424.50 : 176,136.13 = 28,678.47 : x
  2. Step 2: Convert to fraction form
    117,424.50/176,136.13 = 28,678.47/x
  3. Step 3: Cross multiply
    117,424.50x = 176,136.13 × 28,678.47
  4. Step 4: Simplify right side
    117,424.50x = 5,051,314,720.12
  5. Step 5: Solve for x
    x = 5,051,314,720.12/117,424.50
  6. Step 6: Final answer
    x = 43,017.55

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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.