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Finding the Fourth Proportional to 52,866, 72,955.08 and 29,314

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Solution

The fourth proportional to 52,866, 72,955.08 and 29,314 is: 40,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,866 : 72,955.08 = 29,314 : x
  2. Step 2: Convert to fraction form
    52,866/72,955.08 = 29,314/x
  3. Step 3: Cross multiply
    52,866x = 72,955.08 × 29,314
  4. Step 4: Simplify right side
    52,866x = 2,138,605,215.12
  5. Step 5: Solve for x
    x = 2,138,605,215.12/52,866
  6. Step 6: Final answer
    x = 40,453.32

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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.