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Finding the Fourth Proportional to 52,274.16, 72,144.45 and 31,053.45

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Solution

The fourth proportional to 52,274.16, 72,144.45 and 31,053.45 is: 42,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,274.16 : 72,144.45 = 31,053.45 : x
  2. Step 2: Convert to fraction form
    52,274.16/72,144.45 = 31,053.45/x
  3. Step 3: Cross multiply
    52,274.16x = 72,144.45 × 31,053.45
  4. Step 4: Simplify right side
    52,274.16x = 2,240,334,070.85
  5. Step 5: Solve for x
    x = 2,240,334,070.85/52,274.16
  6. Step 6: Final answer
    x = 42,857.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.