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Finding the Fourth Proportional to 107,934.32, 161,803.47 and 37,775.36

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Solution

The fourth proportional to 107,934.32, 161,803.47 and 37,775.36 is: 56,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,934.32 : 161,803.47 = 37,775.36 : x
  2. Step 2: Convert to fraction form
    107,934.32/161,803.47 = 37,775.36/x
  3. Step 3: Cross multiply
    107,934.32x = 161,803.47 × 37,775.36
  4. Step 4: Simplify right side
    107,934.32x = 6,112,184,139.62
  5. Step 5: Solve for x
    x = 6,112,184,139.62/107,934.32
  6. Step 6: Final answer
    x = 56,628.74

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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.