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Finding the Fourth Proportional to 69,994.48, 96,590.28 and 38,164

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Solution

The fourth proportional to 69,994.48, 96,590.28 and 38,164 is: 52,665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,994.48 : 96,590.28 = 38,164 : x
  2. Step 2: Convert to fraction form
    69,994.48/96,590.28 = 38,164/x
  3. Step 3: Cross multiply
    69,994.48x = 96,590.28 × 38,164
  4. Step 4: Simplify right side
    69,994.48x = 3,686,271,445.92
  5. Step 5: Solve for x
    x = 3,686,271,445.92/69,994.48
  6. Step 6: Final answer
    x = 52,665.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.