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Finding the Fourth Proportional to 76,159.36, 105,029.68 and 52,243.84

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Solution

The fourth proportional to 76,159.36, 105,029.68 and 52,243.84 is: 72,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,159.36 : 105,029.68 = 52,243.84 : x
  2. Step 2: Convert to fraction form
    76,159.36/105,029.68 = 52,243.84/x
  3. Step 3: Cross multiply
    76,159.36x = 105,029.68 × 52,243.84
  4. Step 4: Simplify right side
    76,159.36x = 5,487,153,797.17
  5. Step 5: Solve for x
    x = 5,487,153,797.17/76,159.36
  6. Step 6: Final answer
    x = 72,048.32

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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.