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Finding the Fourth Proportional to 77,339.88, 116,031.60 and 29,969.28

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Solution

The fourth proportional to 77,339.88, 116,031.60 and 29,969.28 is: 44,962.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,339.88 : 116,031.60 = 29,969.28 : x
  2. Step 2: Convert to fraction form
    77,339.88/116,031.60 = 29,969.28/x
  3. Step 3: Cross multiply
    77,339.88x = 116,031.60 × 29,969.28
  4. Step 4: Simplify right side
    77,339.88x = 3,477,383,509.25
  5. Step 5: Solve for x
    x = 3,477,383,509.25/77,339.88
  6. Step 6: Final answer
    x = 44,962.36

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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.