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Finding the Fourth Proportional to 115,196.51, 172,794.74 and 36,316.91

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Solution

The fourth proportional to 115,196.51, 172,794.74 and 36,316.91 is: 54,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,196.51 : 172,794.74 = 36,316.91 : x
  2. Step 2: Convert to fraction form
    115,196.51/172,794.74 = 36,316.91/x
  3. Step 3: Cross multiply
    115,196.51x = 172,794.74 × 36,316.91
  4. Step 4: Simplify right side
    115,196.51x = 6,275,369,975.50
  5. Step 5: Solve for x
    x = 6,275,369,975.50/115,196.51
  6. Step 6: Final answer
    x = 54,475.35

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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.