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Finding the Fourth Proportional to 76,428.58, 105,471.66 and 42,437.14

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Solution

The fourth proportional to 76,428.58, 105,471.66 and 42,437.14 is: 58,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,428.58 : 105,471.66 = 42,437.14 : x
  2. Step 2: Convert to fraction form
    76,428.58/105,471.66 = 42,437.14/x
  3. Step 3: Cross multiply
    76,428.58x = 105,471.66 × 42,437.14
  4. Step 4: Simplify right side
    76,428.58x = 4,475,915,601.45
  5. Step 5: Solve for x
    x = 4,475,915,601.45/76,428.58
  6. Step 6: Final answer
    x = 58,563.38

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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.