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Finding the Fourth Proportional to 76,795.39, 115,175.80 and 27,547.39

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Solution

The fourth proportional to 76,795.39, 115,175.80 and 27,547.39 is: 41,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,795.39 : 115,175.80 = 27,547.39 : x
  2. Step 2: Convert to fraction form
    76,795.39/115,175.80 = 27,547.39/x
  3. Step 3: Cross multiply
    76,795.39x = 115,175.80 × 27,547.39
  4. Step 4: Simplify right side
    76,795.39x = 3,172,792,681.16
  5. Step 5: Solve for x
    x = 3,172,792,681.16/76,795.39
  6. Step 6: Final answer
    x = 41,314.88

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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.