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Finding the Fourth Proportional to 75,111.21, 103,653.54 and 46,816.92

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Solution

The fourth proportional to 75,111.21, 103,653.54 and 46,816.92 is: 64,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,111.21 : 103,653.54 = 46,816.92 : x
  2. Step 2: Convert to fraction form
    75,111.21/103,653.54 = 46,816.92/x
  3. Step 3: Cross multiply
    75,111.21x = 103,653.54 × 46,816.92
  4. Step 4: Simplify right side
    75,111.21x = 4,852,739,489.90
  5. Step 5: Solve for x
    x = 4,852,739,489.90/75,111.21
  6. Step 6: Final answer
    x = 64,607.39

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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.