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Finding the Fourth Proportional to 115,296.34, 172,949.82 and 35,328.58

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Solution

The fourth proportional to 115,296.34, 172,949.82 and 35,328.58 is: 52,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,296.34 : 172,949.82 = 35,328.58 : x
  2. Step 2: Convert to fraction form
    115,296.34/172,949.82 = 35,328.58/x
  3. Step 3: Cross multiply
    115,296.34x = 172,949.82 × 35,328.58
  4. Step 4: Simplify right side
    115,296.34x = 6,110,071,551.86
  5. Step 5: Solve for x
    x = 6,110,071,551.86/115,296.34
  6. Step 6: Final answer
    x = 52,994.50

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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.