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Finding the Fourth Proportional to 123,036.76, 184,455.09 and 51,913.48

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Solution

The fourth proportional to 123,036.76, 184,455.09 and 51,913.48 is: 77,828.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,036.76 : 184,455.09 = 51,913.48 : x
  2. Step 2: Convert to fraction form
    123,036.76/184,455.09 = 51,913.48/x
  3. Step 3: Cross multiply
    123,036.76x = 184,455.09 × 51,913.48
  4. Step 4: Simplify right side
    123,036.76x = 9,575,705,625.61
  5. Step 5: Solve for x
    x = 9,575,705,625.61/123,036.76
  6. Step 6: Final answer
    x = 77,828.01

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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.