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Finding the Fourth Proportional to 76,710.34, 105,859.93 and 42,719.23

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Solution

The fourth proportional to 76,710.34, 105,859.93 and 42,719.23 is: 58,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,710.34 : 105,859.93 = 42,719.23 : x
  2. Step 2: Convert to fraction form
    76,710.34/105,859.93 = 42,719.23/x
  3. Step 3: Cross multiply
    76,710.34x = 105,859.93 × 42,719.23
  4. Step 4: Simplify right side
    76,710.34x = 4,522,253,954.56
  5. Step 5: Solve for x
    x = 4,522,253,954.56/76,710.34
  6. Step 6: Final answer
    x = 58,952.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.