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Finding the Fourth Proportional to 104,967.02, 157,416.42 and 34,827.50

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Solution

The fourth proportional to 104,967.02, 157,416.42 and 34,827.50 is: 52,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,967.02 : 157,416.42 = 34,827.50 : x
  2. Step 2: Convert to fraction form
    104,967.02/157,416.42 = 34,827.50/x
  3. Step 3: Cross multiply
    104,967.02x = 157,416.42 × 34,827.50
  4. Step 4: Simplify right side
    104,967.02x = 5,482,420,367.55
  5. Step 5: Solve for x
    x = 5,482,420,367.55/104,967.02
  6. Step 6: Final answer
    x = 52,229.93

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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.