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Finding the Fourth Proportional to 30,070.88, 45,110.64 and 9,296

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Solution

The fourth proportional to 30,070.88, 45,110.64 and 9,296 is: 13,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,070.88 : 45,110.64 = 9,296 : x
  2. Step 2: Convert to fraction form
    30,070.88/45,110.64 = 9,296/x
  3. Step 3: Cross multiply
    30,070.88x = 45,110.64 × 9,296
  4. Step 4: Simplify right side
    30,070.88x = 419,348,509.44
  5. Step 5: Solve for x
    x = 419,348,509.44/30,070.88
  6. Step 6: Final answer
    x = 13,945.34

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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.