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Finding the Fourth Proportional to 39,333.68, 58,978.64 and 13,024.07

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Solution

The fourth proportional to 39,333.68, 58,978.64 and 13,024.07 is: 19,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,333.68 : 58,978.64 = 13,024.07 : x
  2. Step 2: Convert to fraction form
    39,333.68/58,978.64 = 13,024.07/x
  3. Step 3: Cross multiply
    39,333.68x = 58,978.64 × 13,024.07
  4. Step 4: Simplify right side
    39,333.68x = 768,141,640.97
  5. Step 5: Solve for x
    x = 768,141,640.97/39,333.68
  6. Step 6: Final answer
    x = 19,528.86

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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.