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Finding the Fourth Proportional to 38,174.50, 52,681.08 and 23,270.50

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Solution

The fourth proportional to 38,174.50, 52,681.08 and 23,270.50 is: 32,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,174.50 : 52,681.08 = 23,270.50 : x
  2. Step 2: Convert to fraction form
    38,174.50/52,681.08 = 23,270.50/x
  3. Step 3: Cross multiply
    38,174.50x = 52,681.08 × 23,270.50
  4. Step 4: Simplify right side
    38,174.50x = 1,225,915,072.14
  5. Step 5: Solve for x
    x = 1,225,915,072.14/38,174.50
  6. Step 6: Final answer
    x = 32,113.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.