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Finding the Fourth Proportional to 48,435.36, 72,703.92 and 42,924

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Solution

The fourth proportional to 48,435.36, 72,703.92 and 42,924 is: 64,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,435.36 : 72,703.92 = 42,924 : x
  2. Step 2: Convert to fraction form
    48,435.36/72,703.92 = 42,924/x
  3. Step 3: Cross multiply
    48,435.36x = 72,703.92 × 42,924
  4. Step 4: Simplify right side
    48,435.36x = 3,120,743,062.08
  5. Step 5: Solve for x
    x = 3,120,743,062.08/48,435.36
  6. Step 6: Final answer
    x = 64,431.09

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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.