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Finding the Fourth Proportional to 46,595.84, 69,848.16 and 18,506.56

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Solution

The fourth proportional to 46,595.84, 69,848.16 and 18,506.56 is: 27,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,595.84 : 69,848.16 = 18,506.56 : x
  2. Step 2: Convert to fraction form
    46,595.84/69,848.16 = 18,506.56/x
  3. Step 3: Cross multiply
    46,595.84x = 69,848.16 × 18,506.56
  4. Step 4: Simplify right side
    46,595.84x = 1,292,649,163.93
  5. Step 5: Solve for x
    x = 1,292,649,163.93/46,595.84
  6. Step 6: Final answer
    x = 27,741.73

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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.