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Finding the Fourth Proportional to 115,291.84, 172,943.06 and 35,324.08

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Solution

The fourth proportional to 115,291.84, 172,943.06 and 35,324.08 is: 52,987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,291.84 : 172,943.06 = 35,324.08 : x
  2. Step 2: Convert to fraction form
    115,291.84/172,943.06 = 35,324.08/x
  3. Step 3: Cross multiply
    115,291.84x = 172,943.06 × 35,324.08
  4. Step 4: Simplify right side
    115,291.84x = 6,109,054,486.88
  5. Step 5: Solve for x
    x = 6,109,054,486.88/115,291.84
  6. Step 6: Final answer
    x = 52,987.74

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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.