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Finding the Fourth Proportional to 47,987.36, 71,978.45 and 14,707.52

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Solution

The fourth proportional to 47,987.36, 71,978.45 and 14,707.52 is: 22,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,987.36 : 71,978.45 = 14,707.52 : x
  2. Step 2: Convert to fraction form
    47,987.36/71,978.45 = 14,707.52/x
  3. Step 3: Cross multiply
    47,987.36x = 71,978.45 × 14,707.52
  4. Step 4: Simplify right side
    47,987.36x = 1,058,624,329.43
  5. Step 5: Solve for x
    x = 1,058,624,329.43/47,987.36
  6. Step 6: Final answer
    x = 22,060.48

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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.