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Finding the Fourth Proportional to 39,420.54, 59,148.42 and 21,414.24

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Solution

The fourth proportional to 39,420.54, 59,148.42 and 21,414.24 is: 32,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,420.54 : 59,148.42 = 21,414.24 : x
  2. Step 2: Convert to fraction form
    39,420.54/59,148.42 = 21,414.24/x
  3. Step 3: Cross multiply
    39,420.54x = 59,148.42 × 21,414.24
  4. Step 4: Simplify right side
    39,420.54x = 1,266,618,461.50
  5. Step 5: Solve for x
    x = 1,266,618,461.50/39,420.54
  6. Step 6: Final answer
    x = 32,130.93

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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.