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Finding the Fourth Proportional to 65,303.58, 97,952.13 and 18,550.38

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Solution

The fourth proportional to 65,303.58, 97,952.13 and 18,550.38 is: 27,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,303.58 : 97,952.13 = 18,550.38 : x
  2. Step 2: Convert to fraction form
    65,303.58/97,952.13 = 18,550.38/x
  3. Step 3: Cross multiply
    65,303.58x = 97,952.13 × 18,550.38
  4. Step 4: Simplify right side
    65,303.58x = 1,817,049,233.31
  5. Step 5: Solve for x
    x = 1,817,049,233.31/65,303.58
  6. Step 6: Final answer
    x = 27,824.65

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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.