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Finding the Fourth Proportional to 77,467.47, 106,896.31 and 43,468.93

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Solution

The fourth proportional to 77,467.47, 106,896.31 and 43,468.93 is: 59,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,467.47 : 106,896.31 = 43,468.93 : x
  2. Step 2: Convert to fraction form
    77,467.47/106,896.31 = 43,468.93/x
  3. Step 3: Cross multiply
    77,467.47x = 106,896.31 × 43,468.93
  4. Step 4: Simplify right side
    77,467.47x = 4,646,668,216.65
  5. Step 5: Solve for x
    x = 4,646,668,216.65/77,467.47
  6. Step 6: Final answer
    x = 59,982.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.