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Finding the Fourth Proportional to 130,464.81, 195,699.04 and 36,970.56

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Solution

The fourth proportional to 130,464.81, 195,699.04 and 36,970.56 is: 55,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,464.81 : 195,699.04 = 36,970.56 : x
  2. Step 2: Convert to fraction form
    130,464.81/195,699.04 = 36,970.56/x
  3. Step 3: Cross multiply
    130,464.81x = 195,699.04 × 36,970.56
  4. Step 4: Simplify right side
    130,464.81x = 7,235,103,007.84
  5. Step 5: Solve for x
    x = 7,235,103,007.84/130,464.81
  6. Step 6: Final answer
    x = 55,456.36

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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.