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Finding the Fourth Proportional to 76,998.51, 115,477.70 and 32,602.41

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Solution

The fourth proportional to 76,998.51, 115,477.70 and 32,602.41 is: 48,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,998.51 : 115,477.70 = 32,602.41 : x
  2. Step 2: Convert to fraction form
    76,998.51/115,477.70 = 32,602.41/x
  3. Step 3: Cross multiply
    76,998.51x = 115,477.70 × 32,602.41
  4. Step 4: Simplify right side
    76,998.51x = 3,764,851,321.26
  5. Step 5: Solve for x
    x = 3,764,851,321.26/76,998.51
  6. Step 6: Final answer
    x = 48,895.12

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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.