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Finding the Fourth Proportional to 77,465.96, 106,894.24 and 43,467.42

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Solution

The fourth proportional to 77,465.96, 106,894.24 and 43,467.42 is: 59,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,465.96 : 106,894.24 = 43,467.42 : x
  2. Step 2: Convert to fraction form
    77,465.96/106,894.24 = 43,467.42/x
  3. Step 3: Cross multiply
    77,465.96x = 106,894.24 × 43,467.42
  4. Step 4: Simplify right side
    77,465.96x = 4,646,416,825.66
  5. Step 5: Solve for x
    x = 4,646,416,825.66/77,465.96
  6. Step 6: Final answer
    x = 59,980.11

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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.