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Finding the Fourth Proportional to 122,952.10, 184,428.15 and 39,846.10

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Solution

The fourth proportional to 122,952.10, 184,428.15 and 39,846.10 is: 59,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,952.10 : 184,428.15 = 39,846.10 : x
  2. Step 2: Convert to fraction form
    122,952.10/184,428.15 = 39,846.10/x
  3. Step 3: Cross multiply
    122,952.10x = 184,428.15 × 39,846.10
  4. Step 4: Simplify right side
    122,952.10x = 7,348,742,507.72
  5. Step 5: Solve for x
    x = 7,348,742,507.72/122,952.10
  6. Step 6: Final answer
    x = 59,769.15

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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.