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Finding the Fourth Proportional to 78,459.88, 117,623.44 and 34,053.04

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Solution

The fourth proportional to 78,459.88, 117,623.44 and 34,053.04 is: 51,050.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,459.88 : 117,623.44 = 34,053.04 : x
  2. Step 2: Convert to fraction form
    78,459.88/117,623.44 = 34,053.04/x
  3. Step 3: Cross multiply
    78,459.88x = 117,623.44 × 34,053.04
  4. Step 4: Simplify right side
    78,459.88x = 4,005,435,707.26
  5. Step 5: Solve for x
    x = 4,005,435,707.26/78,459.88
  6. Step 6: Final answer
    x = 51,050.75

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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.