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Finding the Fourth Proportional to 120,038.48, 180,066.48 and 41,152.04

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Solution

The fourth proportional to 120,038.48, 180,066.48 and 41,152.04 is: 61,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,038.48 : 180,066.48 = 41,152.04 : x
  2. Step 2: Convert to fraction form
    120,038.48/180,066.48 = 41,152.04/x
  3. Step 3: Cross multiply
    120,038.48x = 180,066.48 × 41,152.04
  4. Step 4: Simplify right side
    120,038.48x = 7,410,102,987.62
  5. Step 5: Solve for x
    x = 7,410,102,987.62/120,038.48
  6. Step 6: Final answer
    x = 61,731.06

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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.