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Finding the Fourth Proportional to 98,933.42, 148,448.85 and 46,333.82

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Solution

The fourth proportional to 98,933.42, 148,448.85 and 46,333.82 is: 69,523.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,933.42 : 148,448.85 = 46,333.82 : x
  2. Step 2: Convert to fraction form
    98,933.42/148,448.85 = 46,333.82/x
  3. Step 3: Cross multiply
    98,933.42x = 148,448.85 × 46,333.82
  4. Step 4: Simplify right side
    98,933.42x = 6,878,202,295.11
  5. Step 5: Solve for x
    x = 6,878,202,295.11/98,933.42
  6. Step 6: Final answer
    x = 69,523.55

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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.