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Finding the Fourth Proportional to 129,224.60, 193,840.52 and 35,730.32

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Solution

The fourth proportional to 129,224.60, 193,840.52 and 35,730.32 is: 53,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,224.60 : 193,840.52 = 35,730.32 : x
  2. Step 2: Convert to fraction form
    129,224.60/193,840.52 = 35,730.32/x
  3. Step 3: Cross multiply
    129,224.60x = 193,840.52 × 35,730.32
  4. Step 4: Simplify right side
    129,224.60x = 6,925,983,808.57
  5. Step 5: Solve for x
    x = 6,925,983,808.57/129,224.60
  6. Step 6: Final answer
    x = 53,596.48

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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.