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Finding the Fourth Proportional to 123,089.65, 184,634.47 and 29,595.40

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Solution

The fourth proportional to 123,089.65, 184,634.47 and 29,595.40 is: 44,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,089.65 : 184,634.47 = 29,595.40 : x
  2. Step 2: Convert to fraction form
    123,089.65/184,634.47 = 29,595.40/x
  3. Step 3: Cross multiply
    123,089.65x = 184,634.47 × 29,595.40
  4. Step 4: Simplify right side
    123,089.65x = 5,464,330,993.44
  5. Step 5: Solve for x
    x = 5,464,330,993.44/123,089.65
  6. Step 6: Final answer
    x = 44,393.10

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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.