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Finding the Fourth Proportional to 100,965.69, 151,465.14 and 37,807.56

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Solution

The fourth proportional to 100,965.69, 151,465.14 and 37,807.56 is: 56,717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,965.69 : 151,465.14 = 37,807.56 : x
  2. Step 2: Convert to fraction form
    100,965.69/151,465.14 = 37,807.56/x
  3. Step 3: Cross multiply
    100,965.69x = 151,465.14 × 37,807.56
  4. Step 4: Simplify right side
    100,965.69x = 5,726,527,368.46
  5. Step 5: Solve for x
    x = 5,726,527,368.46/100,965.69
  6. Step 6: Final answer
    x = 56,717.56

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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.