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Finding the Fourth Proportional to 75,816.31, 113,487.81 and 55,848.31

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Solution

The fourth proportional to 75,816.31, 113,487.81 and 55,848.31 is: 83,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,816.31 : 113,487.81 = 55,848.31 : x
  2. Step 2: Convert to fraction form
    75,816.31/113,487.81 = 55,848.31/x
  3. Step 3: Cross multiply
    75,816.31x = 113,487.81 × 55,848.31
  4. Step 4: Simplify right side
    75,816.31x = 6,338,102,394.10
  5. Step 5: Solve for x
    x = 6,338,102,394.10/75,816.31
  6. Step 6: Final answer
    x = 83,598.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.