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Finding the Fourth Proportional to 77,647.65, 116,442.81 and 27,714.39

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Solution

The fourth proportional to 77,647.65, 116,442.81 and 27,714.39 is: 41,561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,647.65 : 116,442.81 = 27,714.39 : x
  2. Step 2: Convert to fraction form
    77,647.65/116,442.81 = 27,714.39/x
  3. Step 3: Cross multiply
    77,647.65x = 116,442.81 × 27,714.39
  4. Step 4: Simplify right side
    77,647.65x = 3,227,141,449.04
  5. Step 5: Solve for x
    x = 3,227,141,449.04/77,647.65
  6. Step 6: Final answer
    x = 41,561.35

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1.5x scale

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.