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Finding the Fourth Proportional to 47,534.11, 65,597.95 and 27,387.59

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Solution

The fourth proportional to 47,534.11, 65,597.95 and 27,387.59 is: 37,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,534.11 : 65,597.95 = 27,387.59 : x
  2. Step 2: Convert to fraction form
    47,534.11/65,597.95 = 27,387.59/x
  3. Step 3: Cross multiply
    47,534.11x = 65,597.95 × 27,387.59
  4. Step 4: Simplify right side
    47,534.11x = 1,796,569,465.69
  5. Step 5: Solve for x
    x = 1,796,569,465.69/47,534.11
  6. Step 6: Final answer
    x = 37,795.38

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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.