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Finding the Fourth Proportional to 86,529.64, 129,795.54 and 30,367.48

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Solution

The fourth proportional to 86,529.64, 129,795.54 and 30,367.48 is: 45,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,529.64 : 129,795.54 = 30,367.48 : x
  2. Step 2: Convert to fraction form
    86,529.64/129,795.54 = 30,367.48/x
  3. Step 3: Cross multiply
    86,529.64x = 129,795.54 × 30,367.48
  4. Step 4: Simplify right side
    86,529.64x = 3,941,563,465.04
  5. Step 5: Solve for x
    x = 3,941,563,465.04/86,529.64
  6. Step 6: Final answer
    x = 45,551.60

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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.