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Finding the Fourth Proportional to 107,652.84, 161,479.38 and 48,477.48

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Solution

The fourth proportional to 107,652.84, 161,479.38 and 48,477.48 is: 72,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,652.84 : 161,479.38 = 48,477.48 : x
  2. Step 2: Convert to fraction form
    107,652.84/161,479.38 = 48,477.48/x
  3. Step 3: Cross multiply
    107,652.84x = 161,479.38 × 48,477.48
  4. Step 4: Simplify right side
    107,652.84x = 7,828,113,414.36
  5. Step 5: Solve for x
    x = 7,828,113,414.36/107,652.84
  6. Step 6: Final answer
    x = 72,716.27

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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.