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Finding the Fourth Proportional to 72,902.46, 109,353.69 and 17,498.46

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Solution

The fourth proportional to 72,902.46, 109,353.69 and 17,498.46 is: 26,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,902.46 : 109,353.69 = 17,498.46 : x
  2. Step 2: Convert to fraction form
    72,902.46/109,353.69 = 17,498.46/x
  3. Step 3: Cross multiply
    72,902.46x = 109,353.69 × 17,498.46
  4. Step 4: Simplify right side
    72,902.46x = 1,913,521,322.05
  5. Step 5: Solve for x
    x = 1,913,521,322.05/72,902.46
  6. Step 6: Final answer
    x = 26,247.69

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1.5x scale

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.