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Finding the Fourth Proportional to 76,403.84, 105,435.64 and 42,410.36

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Solution

The fourth proportional to 76,403.84, 105,435.64 and 42,410.36 is: 58,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,403.84 : 105,435.64 = 42,410.36 : x
  2. Step 2: Convert to fraction form
    76,403.84/105,435.64 = 42,410.36/x
  3. Step 3: Cross multiply
    76,403.84x = 105,435.64 × 42,410.36
  4. Step 4: Simplify right side
    76,403.84x = 4,471,563,449.23
  5. Step 5: Solve for x
    x = 4,471,563,449.23/76,403.84
  6. Step 6: Final answer
    x = 58,525.38

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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.