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Finding the Fourth Proportional to 70,322.19, 105,341.94 and 32,830.53

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Solution

The fourth proportional to 70,322.19, 105,341.94 and 32,830.53 is: 49,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,322.19 : 105,341.94 = 32,830.53 : x
  2. Step 2: Convert to fraction form
    70,322.19/105,341.94 = 32,830.53/x
  3. Step 3: Cross multiply
    70,322.19x = 105,341.94 × 32,830.53
  4. Step 4: Simplify right side
    70,322.19x = 3,458,431,721.43
  5. Step 5: Solve for x
    x = 3,458,431,721.43/70,322.19
  6. Step 6: Final answer
    x = 49,179.81

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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.