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Finding the Fourth Proportional to 65,235.65, 97,853.49 and 18,488.93

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Solution

The fourth proportional to 65,235.65, 97,853.49 and 18,488.93 is: 27,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,235.65 : 97,853.49 = 18,488.93 : x
  2. Step 2: Convert to fraction form
    65,235.65/97,853.49 = 18,488.93/x
  3. Step 3: Cross multiply
    65,235.65x = 97,853.49 × 18,488.93
  4. Step 4: Simplify right side
    65,235.65x = 1,809,206,326.87
  5. Step 5: Solve for x
    x = 1,809,206,326.87/65,235.65
  6. Step 6: Final answer
    x = 27,733.40

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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.