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Finding the Fourth Proportional to 105,482.36, 158,203.38 and 31,610.36

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Solution

The fourth proportional to 105,482.36, 158,203.38 and 31,610.36 is: 47,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,482.36 : 158,203.38 = 31,610.36 : x
  2. Step 2: Convert to fraction form
    105,482.36/158,203.38 = 31,610.36/x
  3. Step 3: Cross multiply
    105,482.36x = 158,203.38 × 31,610.36
  4. Step 4: Simplify right side
    105,482.36x = 5,000,865,795.02
  5. Step 5: Solve for x
    x = 5,000,865,795.02/105,482.36
  6. Step 6: Final answer
    x = 47,409.50

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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.