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Finding the Fourth Proportional to 76,236.88, 105,206.90 and 46,428.88

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Solution

The fourth proportional to 76,236.88, 105,206.90 and 46,428.88 is: 64,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,236.88 : 105,206.90 = 46,428.88 : x
  2. Step 2: Convert to fraction form
    76,236.88/105,206.90 = 46,428.88/x
  3. Step 3: Cross multiply
    76,236.88x = 105,206.90 × 46,428.88
  4. Step 4: Simplify right side
    76,236.88x = 4,884,637,777.09
  5. Step 5: Solve for x
    x = 4,884,637,777.09/76,236.88
  6. Step 6: Final answer
    x = 64,071.85

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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.